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Change search $(function(){PrimeFaces.cw("DefaultCommand","widget_formSmash_j_idt995",{id:"formSmash:j_idt995",widgetVar:"widget_formSmash_j_idt995",target:"formSmash:advancedQuery:adSearchMiddleButton",scope:"formSmash:advanced"});}); PrimeFaces.cw("SelectBooleanButton","widget_formSmash_advancedQuery_j_idt996",{id:"formSmash:advancedQuery:j_idt996",widgetVar:"widget_formSmash_advancedQuery_j_idt996",onLabel:"",offLabel:"",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); ##### Advanced search

Advanced search is divided into two main parts, and one or more groups in each of the main parts. The main parts are the "Search for" (including) and the "Remove from search" (excluding) part. (The excluding part might not be visible until you hit "NOT" for the first time.)

You can add new groups to both the including and the excluding part by using the buttons "OR" or "NOT" respectively, and you can add more search options to all groups through the drop down menu on the last row (in each group).

For a result to be included in the search result, is it required to fit all added including parameters (in at least one group) and not fit all parameters in one of the excluding groups.

This system with the two main parts and their groups makes it possible to combine two (or more) distinct searches into one search result, while being flexible in removing results from the final list.PrimeFaces.cw("Panel","testPanel",{id:"formSmash:advancedQuery:helpPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500});
#####

$(function(){PrimeFaces.cw("DataList","widget_formSmash_advancedQuery_j_idt1001_qBlock",{id:"formSmash:advancedQuery:j_idt1001:qBlock",widgetVar:"widget_formSmash_advancedQuery_j_idt1001_qBlock"});}); OR PrimeFaces.cw("CommandButton","widget_formSmash_advancedQuery_j_idt1157",{id:"formSmash:advancedQuery:j_idt1157",widgetVar:"widget_formSmash_advancedQuery_j_idt1157"}); NOT PrimeFaces.cw("CommandButton","widget_formSmash_advancedQuery_j_idt1158",{id:"formSmash:advancedQuery:j_idt1158",widgetVar:"widget_formSmash_advancedQuery_j_idt1158"}); Search PrimeFaces.cw("CommandButton","widget_formSmash_advancedQuery_adSearchMiddleButton",{id:"formSmash:advancedQuery:adSearchMiddleButton",widgetVar:"widget_formSmash_advancedQuery_adSearchMiddleButton"});
PrimeFaces.cw("SelectBooleanButton","widget_formSmash_advancedQuery2_j_idt1327",{id:"formSmash:advancedQuery2:j_idt1327",widgetVar:"widget_formSmash_advancedQuery2_j_idt1327",onLabel:"",offLabel:"",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); ##### Limit the search further

Here you can limit your search further, your result list will only contain those who match all of the criteria that you fill out in this part (combined with the advanced search from above)PrimeFaces.cw("Panel","testPanel",{id:"formSmash:advancedQuery2:helpPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500});
##### Limit the search further

$(function(){PrimeFaces.cw("DataList","widget_formSmash_advancedQuery2_j_idt1332_qBlock",{id:"formSmash:advancedQuery2:j_idt1332:qBlock",widgetVar:"widget_formSmash_advancedQuery2_j_idt1332_qBlock"});}); OR PrimeFaces.cw("CommandButton","widget_formSmash_advancedQuery2_j_idt1488",{id:"formSmash:advancedQuery2:j_idt1488",widgetVar:"widget_formSmash_advancedQuery2_j_idt1488"}); NOT PrimeFaces.cw("CommandButton","widget_formSmash_advancedQuery2_j_idt1489",{id:"formSmash:advancedQuery2:j_idt1489",widgetVar:"widget_formSmash_advancedQuery2_j_idt1489"}); Search PrimeFaces.cw("CommandButton","widget_formSmash_advancedQuery2_adSearchMiddleButton",{id:"formSmash:advancedQuery2:adSearchMiddleButton",widgetVar:"widget_formSmash_advancedQuery2_adSearchMiddleButton"});
$(function(){PrimeFaces.cw("Dialog","organisationPopup",{id:"formSmash:organisationPopup:j_idt1658",widgetVar:"organisationPopup",modal:true,width:"600",height:"600",closeOnEscape:true});});
$(function(){PrimeFaces.cw("Dialog","subjectPopup",{id:"formSmash:j_idt1664:j_idt1665",widgetVar:"subjectPopup",modal:true,width:"600",height:"600",closeOnEscape:true});});
$(function(){PrimeFaces.cw("Dialog","researchSubjectPopup",{id:"formSmash:j_idt1671:j_idt1672",widgetVar:"researchSubjectPopup",modal:true,width:"600",height:"600",closeOnEscape:true});});
$(function(){PrimeFaces.cw("Dialog","educationalProgramPopup",{id:"formSmash:j_idt1678:j_idt1679",widgetVar:"educationalProgramPopup",modal:true,width:"600",height:"600",closeOnEscape:true});}); PrimeFaces.cw("Fieldset","widget_formSmash_search",{id:"formSmash:search",widgetVar:"widget_formSmash_search",toggleable:true,collapsed:true,toggleSpeed:500,behaviors:{toggle:function(ext) {PrimeFaces.ab({s:"formSmash:search",e:"toggle",f:"formSmash",p:"formSmash:search"},ext);}}});
PrimeFaces.cw("InputText","widget_formSmash_upper_j_idt526",{id:"formSmash:upper:j_idt526",widgetVar:"widget_formSmash_upper_j_idt526"}); More stylesPrimeFaces.cw("InputText","widget_formSmash_upper_j_idt536",{id:"formSmash:upper:j_idt536",widgetVar:"widget_formSmash_upper_j_idt536"}); More languagesCreate PrimeFaces.cw("CommandButton","widget_formSmash_upper_j_idt545",{id:"formSmash:upper:j_idt545",widgetVar:"widget_formSmash_upper_j_idt545"}); Close PrimeFaces.cw("CommandButton","widget_formSmash_upper_j_idt546",{id:"formSmash:upper:j_idt546",widgetVar:"widget_formSmash_upper_j_idt546"});
$(function(){PrimeFaces.cw("Dialog","citationDialog",{id:"formSmash:upper:j_idt515",widgetVar:"citationDialog",width:"800",height:"600"});});
5 10 20 50 100 250 $(function(){PrimeFaces.cw("SelectOneMenu","widget_formSmash_j_idt558",{id:"formSmash:j_idt558",widgetVar:"widget_formSmash_j_idt558",behaviors:{change:function(ext) {PrimeFaces.ab({s:"formSmash:j_idt558",e:"change",f:"formSmash",p:"formSmash:j_idt558"},ext);}}});});
Standard (Relevance) Author A-Ö Author Ö-A Title A-Ö Title Ö-A Publication type A-Ö Publication type Ö-A Issued (Oldest first) Issued (Newest first) Created (Oldest first) Created (Newest first) Last updated (Oldest first) Last updated (Newest first) Disputation date (earliest first) Disputation date (latest first) $(function(){PrimeFaces.cw("SelectOneMenu","widget_formSmash_j_idt568",{id:"formSmash:j_idt568",widgetVar:"widget_formSmash_j_idt568",behaviors:{change:function(ext) {PrimeFaces.ab({s:"formSmash:j_idt568",e:"change",f:"formSmash",p:"formSmash:j_idt568"},ext);}}});});
Standard (Relevance) Author A-Ö Author Ö-A Title A-Ö Title Ö-A Publication type A-Ö Publication type Ö-A Issued (Oldest first) Issued (Newest first) Created (Oldest first) Created (Newest first) Last updated (Oldest first) Last updated (Newest first) Disputation date (earliest first) Disputation date (latest first) $(function(){PrimeFaces.cw("SelectOneMenu","widget_formSmash_j_idt571",{id:"formSmash:j_idt571",widgetVar:"widget_formSmash_j_idt571",behaviors:{change:function(ext) {PrimeFaces.ab({s:"formSmash:j_idt571",e:"change",f:"formSmash",p:"formSmash:j_idt571"},ext);}}});});
all on this page PrimeFaces.cw("CommandButton","widget_formSmash_j_idt579",{id:"formSmash:j_idt579",widgetVar:"widget_formSmash_j_idt579"}); 250 onwards PrimeFaces.cw("CommandButton","widget_formSmash_j_idt580",{id:"formSmash:j_idt580",widgetVar:"widget_formSmash_j_idt580"});
Clear selection PrimeFaces.cw("CommandButton","widget_formSmash_j_idt582",{id:"formSmash:j_idt582",widgetVar:"widget_formSmash_j_idt582"});
$(function(){PrimeFaces.cw("OverlayPanel","widget_formSmash_j_idt585",{id:"formSmash:j_idt585",widgetVar:"widget_formSmash_j_idt585",target:"formSmash:selectHelpLink",showEffect:"blind",hideEffect:"fade",showCloseIcon:true});});
$(function(){PrimeFaces.cw("DataList","widget_formSmash_items_resultList",{id:"formSmash:items:resultList",widgetVar:"widget_formSmash_items_resultList"});});
PrimeFaces.cw("InputText","widget_formSmash_lower_j_idt949",{id:"formSmash:lower:j_idt949",widgetVar:"widget_formSmash_lower_j_idt949"}); More stylesPrimeFaces.cw("InputText","widget_formSmash_lower_j_idt959",{id:"formSmash:lower:j_idt959",widgetVar:"widget_formSmash_lower_j_idt959"}); More languagesCreate PrimeFaces.cw("CommandButton","widget_formSmash_lower_j_idt968",{id:"formSmash:lower:j_idt968",widgetVar:"widget_formSmash_lower_j_idt968"}); Close PrimeFaces.cw("CommandButton","widget_formSmash_lower_j_idt969",{id:"formSmash:lower:j_idt969",widgetVar:"widget_formSmash_lower_j_idt969"});
$(function(){PrimeFaces.cw("Dialog","citationDialog",{id:"formSmash:lower:j_idt938",widgetVar:"citationDialog",width:"800",height:"600"});});

You can add new groups to both the including and the excluding part by using the buttons "OR" or "NOT" respectively, and you can add more search options to all groups through the drop down menu on the last row (in each group).

For a result to be included in the search result, is it required to fit all added including parameters (in at least one group) and not fit all parameters in one of the excluding groups.

This system with the two main parts and their groups makes it possible to combine two (or more) distinct searches into one search result, while being flexible in removing results from the final list.

- Organisation(id) AX
$(function(){PrimeFaces.cw("AutoComplete","widget_formSmash_advancedQuery_j_idt1001_qBlock_0_questions_0_adSearchOrganisation",{id:"formSmash:advancedQuery:j_idt1001:qBlock:0:questions:0:adSearchOrganisation",widgetVar:"widget_formSmash_advancedQuery_j_idt1001_qBlock_0_questions_0_adSearchOrganisation",delay:500,forceSelection:true,itemtip:true});}); BrowseInclude former name in searchPrimeFaces.cw("SelectBooleanCheckbox","widget_formSmash_advancedQuery_j_idt1001_qBlock_0_questions_0_j_idt1037",{id:"formSmash:advancedQuery:j_idt1001:qBlock:0:questions:0:j_idt1037",widgetVar:"widget_formSmash_advancedQuery_j_idt1001_qBlock_0_questions_0_j_idt1037"});

$(function(){PrimeFaces.cw("DataList","widget_formSmash_advancedQuery_j_idt1001_qBlock_0_questions",{id:"formSmash:advancedQuery:j_idt1001:qBlock:0:questions",widgetVar:"widget_formSmash_advancedQuery_j_idt1001_qBlock_0_questions"});}); $(function(){PrimeFaces.cw("AutoComplete","widget_formSmash_advancedQuery_j_idt1001_qBlock_0_addAutoLastRow",{id:"formSmash:advancedQuery:j_idt1001:qBlock:0:addAutoLastRow",widgetVar:"widget_formSmash_advancedQuery_j_idt1001_qBlock_0_addAutoLastRow",minLength:0,delay:300,forceSelection:true,scrollHeight:200,behaviors:{itemSelect:function(ext) {PrimeFaces.ab({s:"formSmash:advancedQuery:j_idt1001:qBlock:0:addAutoLastRow",e:"itemSelect",f:"formSmash",p:"formSmash",u:"formSmash"},ext);}}});}); $(function(){PrimeFaces.cw("Watermark","widget_formSmash_advancedQuery_j_idt1001_qBlock_0_j_idt1156",{id:"formSmash:advancedQuery:j_idt1001:qBlock:0:j_idt1156",widgetVar:"widget_formSmash_advancedQuery_j_idt1001_qBlock_0_j_idt1156",value:"- AND -",target:"formSmash:advancedQuery:j_idt1001:qBlock:0:addAutoLastRow"},"watermark");});

$(function(){PrimeFaces.cw("AutoComplete","widget_formSmash_advancedQuery2_j_idt1332_qBlock_0_addAutoLastRow",{id:"formSmash:advancedQuery2:j_idt1332:qBlock:0:addAutoLastRow",widgetVar:"widget_formSmash_advancedQuery2_j_idt1332_qBlock_0_addAutoLastRow",minLength:0,delay:300,forceSelection:true,scrollHeight:200,behaviors:{itemSelect:function(ext) {PrimeFaces.ab({s:"formSmash:advancedQuery2:j_idt1332:qBlock:0:addAutoLastRow",e:"itemSelect",f:"formSmash",p:"formSmash",u:"formSmash"},ext);}}});}); $(function(){PrimeFaces.cw("Watermark","widget_formSmash_advancedQuery2_j_idt1332_qBlock_0_j_idt1487",{id:"formSmash:advancedQuery2:j_idt1332:qBlock:0:j_idt1487",widgetVar:"widget_formSmash_advancedQuery2_j_idt1332_qBlock_0_j_idt1487",value:"- Add search term -",target:"formSmash:advancedQuery2:j_idt1332:qBlock:0:addAutoLastRow"},"watermark");});

Show departments that are closed down
$(function(){PrimeFaces.cw("VerticalTree","widget_formSmash_organisationPopup_organisationTree",{id:"formSmash:organisationPopup:organisationTree",widgetVar:"widget_formSmash_organisationPopup_organisationTree",dynamic:false,cache:false,selectionMode:"single",propagateUp:true,propagateDown:true,iconStates:{},behaviors:{select:function(ext) {PrimeFaces.ab({s:"formSmash:organisationPopup:organisationTree",e:"select",f:"formSmash",p:"formSmash:organisationPopup:organisationTree",onco:function(xhr,status,args){PF('organisationPopup').hide();}},ext);}}});});

- Stockholm University
- Centrum för musikpedagogisk forskning (MPC)
- Faculty of Humanities
- Centre for Medieval Studies
- Department of Archaeology and Classical Studies
- Archaeological Research Laboratory
- Archaeology
- Centre for Cultural Evolution
- Classical Archaeology and Ancient History
- Osteoarchaeological Research Laboratory
- Stockholm Numismatic Institute

- Archaeological Research Laboratory
- Department of Asian and Middle Eastern studies
- Chinese Studies
- Japanese Studies
- Korean Studies
- Middle Eastern Studies

- Chinese Studies
- Department of Culture and Aesthetics
- Department of English
- Department of Ethnology, History of Religions and Gender Studies
- Ethnology
- Gender Studies
- History of Religions

- Ethnology
- Department of History
- Department of Linguistics
- Computational Linguistics
- General Linguistics
- Modern Greek
- Phonetics
- Sign Language
- SUBIC - Stockholm University Brain Imaging Centre
- Swedish as a Second Language for the Deaf

- Computational Linguistics
- Department of Media Studies
- Cinema Studies
- Fashion Studies
- JMK

- Cinema Studies
- Department of Philosophy
- Stockholm Bioethics Centre

- Stockholm Bioethics Centre
- Department of Romance Studies and Classics
- Nordic Institute of Latin American Studies

- Nordic Institute of Latin American Studies
- Department of Slavic and Baltic Studies, Finnish, Dutch, and German
- Baltic Languages
- Dutch
- Finnish
- German
- Slavic Languages

- Baltic Languages
- Department of Swedish Language and Multilingualism
- Centre for Research on Bilingualism
- Institute for Interpreting and Translation Studies
- Scandinavian Languages

- Centre for Research on Bilingualism
- Department of Teaching and Learning
- PRIM-gruppen

- PRIM-gruppen
- Royal College of Music in Stockholm

- Centre for Medieval Studies
- Faculty of Law
- Department of Law
- Stockholm Center for International Law and Justice (SCILJ)
- Stockholm Centre for Commercial Law
- Stockholm Centre for the Rights of the Child
- Stockholm Environmental Law and Policy Centre
- The European Law Institute
- The Institute for Legal Genetics
- The Institute for Social Law
- The Institute for Value Added Tax Research
- The Institute of Intellectual Property Law and Marketing Law
- The Institute of Maritime and other Transport Law
- The Swedish Law and Informatics Research Institute

- Stockholm Center for International Law and Justice (SCILJ)

- Department of Law
- Faculty of Science
- Department of Astronomy
- Department of Biochemistry and Biophysics
- Department of Biology Education
- Department of Ecology, Environment and Plant Sciences
- Department of Environmental Science
- Department of Geological Sciences
- Department of Materials and Environmental Chemistry (MMK)
- Analytical Chemistry
- Inorganic and Structural Chemistry
- Materials Chemistry
- Physical Chemistry

- Analytical Chemistry
- Department of Mathematics
- Department of Meteorology
- Department of Molecular Biosciences, The Wenner-Gren Institute
- Department of Organic Chemistry
- Department of Physical Geography
- Department of Physics
- The Manne Siegbahn Laboratory

- The Manne Siegbahn Laboratory
- Department of Zoology
- Animal Ecology
- Ethology
- Functional Morphology
- Population Genetics
- Systematic Zoology

- Animal Ecology
- Stockholm Resilience Centre
- Stockholm University Baltic Sea Centre
- Baltic Nest Institute

- Baltic Nest Institute
- The Bergius Botanical Garden Museum
- The Bolin Centre for Climate Research (together with KTH & SMHI)
- The Oskar Klein Centre for Cosmo Particle Physics (OKC)

- Department of Astronomy
- Faculty of Social Sciences
- Aging Research Center (ARC), (together with KI)
- Department of Child and Youth Studies
- The Centre for the Studies of Children's Culture

- The Centre for the Studies of Children's Culture
- Department of Computer and Systems Sciences
- Department of Criminology
- Department of Economic History and International Relations
- Stockholm University Institute for Turkish Studies (SUITS)

- Stockholm University Institute for Turkish Studies (SUITS)
- Department of Economics
- Department of Education
- Department of Human Geography
- Department of Political Science
- Department of Psychology
- Biological psychology
- Clinical psychology
- Cognitive psychology
- Perception and psychophysics
- Personality, Social and Developmental Psychology
- Stress Research Institute
- Work and organizational psychology

- Biological psychology
- Department of Public Health Sciences
- Centre for Health Equity Studies (CHESS)
- Centre for Social Research on Alcohol and Drugs (SoRAD)

- Centre for Health Equity Studies (CHESS)
- Department of Social Anthropology
- Stockholm Centre for Organizational Research (SCORE)

- Stockholm Centre for Organizational Research (SCORE)
- Department of Social Work
- Department of Sociology
- Department of Special Education
- Department of Statistics
- Institute for International Economic Studies
- Stockholm Business School
- Accounting
- Finance
- Management & Organisation
- Marketing
- Operations Management
- The Institute for Local Government Economics

- Accounting
- The Swedish Institute for Social Research (SOFI)

- Aging Research Center (ARC), (together with KI)
- Nordic Institute for Theoretical Physics (Nordita)
- Science for Life Laboratory (SciLifeLab)
- Stockholm Environment Institute
- University Library

- Centrum för musikpedagogisk forskning (MPC)

Show subjects that no longer are in use
$(function(){PrimeFaces.cw("VerticalTree","widget_formSmash_j_idt1664_subjectTree",{id:"formSmash:j_idt1664:subjectTree",widgetVar:"widget_formSmash_j_idt1664_subjectTree",dynamic:false,cache:false,selectionMode:"single",propagateUp:true,propagateDown:true,iconStates:{},behaviors:{select:function(ext) {PrimeFaces.ab({s:"formSmash:j_idt1664:subjectTree",e:"select",f:"formSmash",p:"formSmash:j_idt1664:subjectTree",onco:function(xhr,status,args){PF('subjectPopup').hide();}},ext);}}});});

- Agricultural and Veterinary sciences
- Agricultural Biotechnology
- Genetics and Breeding in Agricultural Sciences
- Plant Biotechnology

- Genetics and Breeding in Agricultural Sciences
- Agricultural Science, Forestry and Fisheries
- Agricultural Science
- Fish and Aquacultural Science
- Food Science
- Forest Science
- Horticulture
- Landscape Architecture
- Soil Science
- Wood Science

- Agricultural Science
- Animal and Dairy Science
- Other Agricultural Sciences
- Agricultural Occupational Health and Safety
- Environmental Sciences related to Agriculture and Land-use
- Fish and Wildlife Management
- Other Agricultural Sciences not elsewhere specified
- Renewable Bioenergy Research

- Agricultural Occupational Health and Safety
- Veterinary Science
- Clinical Science
- Medical Bioscience
- Other Veterinary Science
- Pathobiology

- Clinical Science

- Agricultural Biotechnology
- Engineering and Technology
- Chemical Engineering
- Chemical Process Engineering
- Corrosion Engineering
- Other Chemical Engineering
- Pharmaceutical Chemistry
- Polymer Technologies

- Chemical Process Engineering
- Civil Engineering
- Architectural Engineering
- Building Technologies
- Construction Management
- Environmental Analysis and Construction Information Technology
- Geotechnical Engineering
- Infrastructure Engineering
- Other Civil Engineering
- Transport Systems and Logistics
- Water Engineering

- Architectural Engineering
- Electrical Engineering, Electronic Engineering, Information Engineering
- Communication Systems
- Computer Systems
- Control Engineering
- Embedded Systems
- Other Electrical Engineering, Electronic Engineering, Information Engineering
- Robotics
- Signal Processing
- Telecommunications

- Communication Systems
- Environmental Biotechnology
- Bioethics
- Bioremediation
- Diagnostic Biotechnology
- Other Environmental Biotechnology
- Water Treatment

- Bioethics
- Environmental Engineering
- Energy Systems
- Environmental Management
- Geophysical Engineering
- Marine Engineering
- Mineral and Mine Engineering
- Ocean and River Engineering
- Other Environmental Engineering
- Remote Sensing

- Energy Systems
- Industrial Biotechnology
- Bio Materials
- Biocatalysis and Enzyme Technology
- Biochemicals
- Bioenergy
- Bioengineering Equipment
- Bioprocess Technology
- Medical Biotechnology
- Other Industrial Biotechnology
- Pharmaceutical Biotechnology

- Bio Materials
- Materials Engineering
- Ceramics
- Composite Science and Engineering
- Manufacturing, Surface and Joining Technology
- Metallurgy and Metallic Materials
- Other Materials Engineering
- Paper, Pulp and Fiber Technology
- Textile, Rubber and Polymeric Materials

- Ceramics
- Mechanical Engineering
- Aerospace Engineering
- Applied Mechanics
- Energy Engineering
- Fluid Mechanics and Acoustics
- Other Mechanical Engineering
- Production Engineering, Human Work Science and Ergonomics
- Reliability and Maintenance
- Tribology (Interacting Surfaces including Friction, Lubrication and Wear)
- Vehicle Engineering

- Aerospace Engineering
- Medical Engineering
- Medical Equipment Engineering
- Medical Ergonomics
- Medical Image Processing
- Medical Laboratory and Measurements Technologies
- Medical Materials
- Other Medical Engineering

- Medical Equipment Engineering
- Nano Technology
- Other Engineering and Technologies
- Food Engineering
- Interaction Technologies
- Media Engineering
- Other Engineering and Technologies not elsewhere specified

- Food Engineering

- Chemical Engineering
- Humanities and the Arts
- Arts
- Architecture
- Art History
- Design
- Literary Composition
- Music
- Musicology
- Performing Art Studies
- Performing Arts
- Studies on Film
- Visual Arts

- Architecture
- History and Archaeology
- Archaeology
- History of Technology
- History

- Archaeology
- Languages and Literature
- General Language Studies and Linguistics
- General Literature Studies
- Specific Languages
- Specific Literatures

- General Language Studies and Linguistics
- Other Humanities
- Classical Archaeology and Ancient History
- Cultural Studies
- Ethnology
- Other Humanities not elsewhere specified

- Classical Archaeology and Ancient History
- Philosophy, Ethics and Religion
- Ethics
- History of Ideas
- History of Religions
- Philosophy
- Religious Studies

- Ethics

- Arts
- Medical and Health Sciences
- Basic Medicine
- Cell and Molecular Biology
- Immunology in the medical area
- Medical Genetics
- Medicinal Chemistry
- Microbiology in the medical area
- Neurosciences
- Other Basic Medicine
- Pharmaceutical Sciences
- Pharmacology and Toxicology
- Physiology
- Social and Clinical Pharmacy

- Cell and Molecular Biology
- Clinical Medicine
- Anesthesiology and Intensive Care
- Cancer and Oncology
- Cardiac and Cardiovascular Systems
- Clinical Laboratory Medicine
- Dentistry
- Dermatology and Venereal Diseases
- Endocrinology and Diabetes
- Gastroenterology and Hepatology
- General Practice
- Geriatrics
- Hematology
- Infectious Medicine
- Neurology
- Obstetrics, Gynecology and Reproductive Medicine
- Ophthalmology
- Orthopaedics
- Other Clinical Medicine
- Otorhinolaryngology
- Pediatrics
- Psychiatry
- Radiology, Nuclear Medicine and Medical Imaging
- Respiratory Medicine and Allergy
- Rheumatology and Autoimmunity
- Surgery
- Urology and Nephrology

- Anesthesiology and Intensive Care
- Health Sciences
- Health Care Service and Management, Health Policy and Services and Health Economy
- Medical Ethics
- Nursing
- Nutrition and Dietetics
- Occupational Health and Environmental Health
- Occupational Therapy
- Other Health Sciences
- Physiotherapy
- Public Health, Global Health, Social Medicine and Epidemiology
- Sport and Fitness Sciences
- Substance Abuse

- Health Care Service and Management, Health Policy and Services and Health Economy
- Medical Biotechnology
- Biomaterials Science
- Biomedical Laboratory Science/Technology
- Medical Biotechnology (with a focus on Cell Biology (including Stem Cell Biology), Molecular Biology, Microbiology, Biochemistry or Biopharmacy)
- Other Medical Biotechnology

- Biomaterials Science
- Other Medical Sciences
- Forensic Science
- Gerontology, specialising in Medical and Health Sciences
- Other Medical Sciences not elsewhere specified

- Forensic Science

- Basic Medicine
- Natural Sciences
- Biological Sciences
- Behavioral Sciences Biology
- Biochemistry and Molecular Biology
- Bioinformatics and Systems Biology
- Biological Systematics
- Biophysics
- Botany
- Cell Biology
- Developmental Biology
- Ecology
- Evolutionary Biology
- Genetics
- Immunology
- Microbiology
- Other Biological Topics
- Structural Biology
- Zoology

- Behavioral Sciences Biology
- Chemical Sciences
- Analytical Chemistry
- Inorganic Chemistry
- Materials Chemistry
- Organic Chemistry
- Other Chemistry Topics
- Physical Chemistry
- Polymer Chemistry
- Theoretical Chemistry

- Analytical Chemistry
- Computer and Information Sciences
- Bioinformatics (Computational Biology)
- Computer Engineering
- Computer Sciences
- Computer Vision and Robotics (Autonomous Systems)
- Human Computer Interaction
- Information Systems
- Language Technology (Computational Linguistics)
- Media and Communication Technology
- Other Computer and Information Science
- Software Engineering

- Bioinformatics (Computational Biology)
- Earth and Related Environmental Sciences
- Climate Research
- Environmental Sciences
- Geochemistry
- Geology
- Geophysics
- Geosciences, Multidisciplinary
- Meteorology and Atmospheric Sciences
- Oceanography, Hydrology and Water Resources
- Other Earth and Related Environmental Sciences
- Physical Geography

- Climate Research
- Mathematics
- Algebra and Logic
- Computational Mathematics
- Discrete Mathematics
- Geometry
- Mathematical Analysis
- Other Mathematics
- Probability Theory and Statistics

- Algebra and Logic
- Other Natural Sciences
- Physical Sciences
- Accelerator Physics and Instrumentation
- Astronomy, Astrophysics and Cosmology
- Atom and Molecular Physics and Optics
- Condensed Matter Physics
- Fusion, Plasma and Space Physics
- Other Physics Topics
- Subatomic Physics

- Accelerator Physics and Instrumentation

- Biological Sciences
- Social Sciences
- Economics and Business
- Business Administration
- Economic History
- Economics

- Business Administration
- Educational Sciences
- Didactics
- Learning
- Pedagogical Work
- Pedagogy

- Didactics
- Law
- Law (excluding Law and Society)
- Law and Society

- Law (excluding Law and Society)
- Media and Communications
- Communication Studies
- Human Aspects of ICT
- Information Studies
- Information Systems, Social aspects
- Media Studies

- Communication Studies
- Other Social Sciences
- Gender Studies
- International Migration and Ethnic Relations
- Other Social Sciences not elsewhere specified
- Social Sciences Interdisciplinary
- Work Sciences

- Gender Studies
- Political Science
- Globalisation Studies
- Political Science (excluding Public Administration Studies and Globalisation Studies)
- Public Administration Studies

- Globalisation Studies
- Psychology
- Applied Psychology
- Psychology (excluding Applied Psychology)

- Applied Psychology
- Social and Economic Geography
- Economic Geography
- Human Geography

- Economic Geography
- Sociology
- Social Anthropology
- Social Psychology
- Social Work
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1. Spectral stability under removal of small capacity sets and applications to Aharonov–Bohm operators Abatangelo, Lauraet al. PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_0_j_idt609",{id:"formSmash:items:resultList:0:j_idt609",widgetVar:"widget_formSmash_items_resultList_0_j_idt609",onLabel:"et al.",offLabel:"et al.",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:0:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Felli, VeronicaHillairet, LucLéna, CorentinStockholm University, Faculty of Science, Department of Mathematics.PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:0:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Spectral stability under removal of small capacity sets and applications to Aharonov–Bohm operators2019In: Journal of Spectral Theory, ISSN 1664-039X, E-ISSN 1664-0403, Vol. 9, no 2, p. 379-427Article in journal (Refereed)Abstract [en] PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_0_j_idt644_0_j_idt645",{id:"formSmash:items:resultList:0:j_idt644:0:j_idt645",widgetVar:"widget_formSmash_items_resultList_0_j_idt644_0_j_idt645",onLabel:"Abstract [en]",offLabel:"Abstract [en]",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); We first establish a sharp relation between the order of vanishing of a Dirichlet eigenfunction at a point and the leading term of the asymptotic expansion of the Dirichlet eigenvalue variation, as a removed compact set concentrates at that point. Then we apply this spectral stability result to the study of the asymptotic behaviour of eigenvalues of Aharonov–Bohm operators with two colliding poles moving on an axis of symmetry of the domain.

PrimeFaces.cw("Panel","tryPanel",{id:"formSmash:items:resultList:0:j_idt644:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); 2. Eigenvalue variation under moving mixed Dirichlet–Neumann boundary conditions and applications Abatangelo, Lauraet al. PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_1_j_idt609",{id:"formSmash:items:resultList:1:j_idt609",widgetVar:"widget_formSmash_items_resultList_1_j_idt609",onLabel:"et al.",offLabel:"et al.",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:1:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Felli, VeronicaLéna, CorentinStockholm University, Faculty of Science, Department of Mathematics.PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:1:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Eigenvalue variation under moving mixed Dirichlet–Neumann boundary conditions and applications2020In: ESAIM: Control, Optimisation and Calculus of Variations , ISSN 1292-8119, E-ISSN 1262-3377, Vol. 26, article id 39Article in journal (Refereed)Abstract [en] PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_1_j_idt644_0_j_idt645",{id:"formSmash:items:resultList:1:j_idt644:0:j_idt645",widgetVar:"widget_formSmash_items_resultList_1_j_idt644_0_j_idt645",onLabel:"Abstract [en]",offLabel:"Abstract [en]",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); We deal with the sharp asymptotic behaviour of eigenvalues of elliptic operators with varying mixed Dirichlet–Neumann boundary conditions. In case of simple eigenvalues, we compute explicitly the constant appearing in front of the expansion’s leading term. This allows inferring some remarkable consequences for Aharonov–Bohm eigenvalues when the singular part of the operator has two coalescing poles.

PrimeFaces.cw("Panel","tryPanel",{id:"formSmash:items:resultList:1:j_idt644:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Download full text (pdf)fulltext$(function(){PrimeFaces.cw("Tooltip","widget_formSmash_items_resultList_1_j_idt869_0_j_idt872",{id:"formSmash:items:resultList:1:j_idt869:0:j_idt872",widgetVar:"widget_formSmash_items_resultList_1_j_idt869_0_j_idt872",showEffect:"fade",hideEffect:"fade",target:"formSmash:items:resultList:1:j_idt869:0:fullText"});}); 3. Asymptotic distribution of zeros of a certain class of hypergeometric polynomials Abathun, Addisalem PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_2_j_idt606",{id:"formSmash:items:resultList:2:j_idt606",widgetVar:"widget_formSmash_items_resultList_2_j_idt606",onLabel:"Abathun, Addisalem ",offLabel:"Abathun, Addisalem ",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); Stockholm University, Faculty of Science, Department of Mathematics.PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:2:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:2:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Asymptotic distribution of zeros of a certain class of hypergeometric polynomials2014Licentiate thesis, monograph (Other academic)Abstract [en] PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_2_j_idt644_0_j_idt645",{id:"formSmash:items:resultList:2:j_idt644:0:j_idt645",widgetVar:"widget_formSmash_items_resultList_2_j_idt644_0_j_idt645",onLabel:"Abstract [en]",offLabel:"Abstract [en]",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); The thesis consists of two papers, both treating hypergeometric polynomials, and a short introduction. The main results are as follows.In the first paper,we study the asymptotic zero distribution of a family of hypergeometric polynomials in one complex variable as their degree goes to infinity,using the associated differential equations that hypergeometric polynomials satisfy. We describe in particular the curve complex on which the zeros cluster, as level curves associated to integrals on an algebraic curve derived from the equation. The new result is first of all that we are able to formulate results on the location of zeros of generalized hypergeometric polynomials in greater generality than before (earlier results are mainly concerned with the Gauss hypergeometric case.) Secondly, we are able to formulate a precise conjucture giving the asymptotic behaviour of zeros in the generalized case of our polynomials, which covers previous results.In the second paper we partly prove one of the conjectures in the first paper by using Euler integral representation of the Gauss hypergeometric functions together with the Saddle point method.

PrimeFaces.cw("Panel","tryPanel",{id:"formSmash:items:resultList:2:j_idt644:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); 4. Asymptotic Distribution of Zeros of a Certain Class of Hypergeometric Polynomialsd Abathun, Addisalem PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_3_j_idt606",{id:"formSmash:items:resultList:3:j_idt606",widgetVar:"widget_formSmash_items_resultList_3_j_idt606",onLabel:"Abathun, Addisalem ",offLabel:"Abathun, Addisalem ",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); et al. PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_3_j_idt609",{id:"formSmash:items:resultList:3:j_idt609",widgetVar:"widget_formSmash_items_resultList_3_j_idt609",onLabel:"et al.",offLabel:"et al.",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); Stockholm University, Faculty of Science, Department of Mathematics. Addis Ababa University, Ethiopia.PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:3:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Bøgvad, RikardStockholm University, Faculty of Science, Department of Mathematics.PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:3:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Asymptotic Distribution of Zeros of a Certain Class of Hypergeometric Polynomialsd2016In: Computational methods in Function Theory, ISSN 1617-9447, E-ISSN 2195-3724, Vol. 16, no 2, p. 167-185Article in journal (Refereed)Abstract [en] PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_3_j_idt644_0_j_idt645",{id:"formSmash:items:resultList:3:j_idt644:0:j_idt645",widgetVar:"widget_formSmash_items_resultList_3_j_idt644_0_j_idt645",onLabel:"Abstract [en]",offLabel:"Abstract [en]",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); We study the asymptotic behavior of the zeros of a family of a certain class of hypergeometric polynomials [GRAPHICS] , using the associated hypergeometric differential equation, as the parameters go to infinity. The curve configuration on which the zeros cluster is characterized as level curves associated with integrals on an algebraic curve. The algebraic curve is the hypergeometrc differential equation, using a similar approach to the method used in Borcea et al. (Publ Res Inst Math Sci 45(2):525-568, 2009). In a specific degenerate case, we make a conjecture that generalizes work in Boggs and Duren (Comput Methods Funct Theory 1(1):275-287, 2001), Driver and Duren (Algorithms 21(1-4):147-156, 1999), and Duren and Guillou (J Approx Theory 111(2):329-343, 2001), and present experimental evidence to substantiate it.

PrimeFaces.cw("Panel","tryPanel",{id:"formSmash:items:resultList:3:j_idt644:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); 5. ZEROS OF A CERTAIN CLASS OF GAUSS HYPERGEOMETRIC POLYNOMIALS Abathun, Addisalem PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_4_j_idt606",{id:"formSmash:items:resultList:4:j_idt606",widgetVar:"widget_formSmash_items_resultList_4_j_idt606",onLabel:"Abathun, Addisalem ",offLabel:"Abathun, Addisalem ",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); et al. PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_4_j_idt609",{id:"formSmash:items:resultList:4:j_idt609",widgetVar:"widget_formSmash_items_resultList_4_j_idt609",onLabel:"et al.",offLabel:"et al.",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); Stockholm University, Faculty of Science, Department of Mathematics. Addis Ababa University, Ethiopia.PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:4:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Bøgvad, RikardStockholm University, Faculty of Science, Department of Mathematics.PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:4:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); ZEROS OF A CERTAIN CLASS OF GAUSS HYPERGEOMETRIC POLYNOMIALS2018In: Czechoslovak Mathematical Journal, ISSN 0011-4642, E-ISSN 1572-9141, Vol. 68, no 4, p. 1021-1031Article in journal (Refereed)Abstract [en] PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_4_j_idt644_0_j_idt645",{id:"formSmash:items:resultList:4:j_idt644:0:j_idt645",widgetVar:"widget_formSmash_items_resultList_4_j_idt644_0_j_idt645",onLabel:"Abstract [en]",offLabel:"Abstract [en]",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); We prove that as n -> infinity, the zeros of the polynomial F-2(1) 9-n, (an + 2) (an + 1) ; z] cluster on (a part of) a level curve of an explicit harmonic function. This generalizes previous results of Boggs, Driver, Duren et al. (1999-2001) to the case of a complex parameter alpha and partially proves a conjecture made by the authors in an earlier work.

PrimeFaces.cw("Panel","tryPanel",{id:"formSmash:items:resultList:4:j_idt644:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); 6. On the decomposition of D-modules over a hyperplane arrangement Abebaw, Tilahun PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_5_j_idt606",{id:"formSmash:items:resultList:5:j_idt606",widgetVar:"widget_formSmash_items_resultList_5_j_idt606",onLabel:"Abebaw, Tilahun ",offLabel:"Abebaw, Tilahun ",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); Stockholm University, Faculty of Science, Department of Mathematics. Matematik.PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:5:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:5:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); On the decomposition of D-modules over a hyperplane arrangement2007Licentiate thesis, monograph (Other academic)7. Decomposition of D-modules over a hyperplane arrangement in the plane Abebaw, Tilahun PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_6_j_idt606",{id:"formSmash:items:resultList:6:j_idt606",widgetVar:"widget_formSmash_items_resultList_6_j_idt606",onLabel:"Abebaw, Tilahun ",offLabel:"Abebaw, Tilahun ",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); et al. PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_6_j_idt609",{id:"formSmash:items:resultList:6:j_idt609",widgetVar:"widget_formSmash_items_resultList_6_j_idt609",onLabel:"et al.",offLabel:"et al.",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); Stockholm University, Faculty of Science, Department of Mathematics.PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:6:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Bogvad, RikardStockholm University, Faculty of Science, Department of Mathematics.PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:6:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Decomposition of D-modules over a hyperplane arrangement in the plane2010In: Arkiv för matematik, ISSN 0004-2080, E-ISSN 1871-2487, Vol. 48, no 2, p. 211-229Article in journal (Refereed)Abstract [en] PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_6_j_idt644_0_j_idt645",{id:"formSmash:items:resultList:6:j_idt644:0:j_idt645",widgetVar:"widget_formSmash_items_resultList_6_j_idt644_0_j_idt645",onLabel:"Abstract [en]",offLabel:"Abstract [en]",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); Let alpha(1), alpha(2),..., alpha(m) be linear forms defined on C-n and X = C-n\boolean OR(m)(i=1) V(alpha(i)), where V(alpha(i))={p is an element of C-n : alpha(i)(p)=0}. The coordinate ring O-X of X is a holonomic A(n)-module, where A(n) is the nth Weyl algebra and since holonomic A(n)-modules have finite length, O-X has finite length. We consider a "" twisted"" variant of this An- module which is also holonomic. Define M-alpha(beta) to be the free rank-1 C[x](alpha)-module on the generator alpha(beta) (thought of as a multivalued function), where alpha(beta)=alpha(beta 1)(1),..., alpha(beta m)(m) and the multi-index beta=(beta(1),...,beta(m))is an element of C-m. Our main result is the computation of the number of decomposition factors of M-alpha(beta) and their description when n-2.

PrimeFaces.cw("Panel","tryPanel",{id:"formSmash:items:resultList:6:j_idt644:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); 8. Decomposition factors of D-modules on hyperplane configurations in general position Abebaw, Tilahun PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_7_j_idt606",{id:"formSmash:items:resultList:7:j_idt606",widgetVar:"widget_formSmash_items_resultList_7_j_idt606",onLabel:"Abebaw, Tilahun ",offLabel:"Abebaw, Tilahun ",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); et al. PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_7_j_idt609",{id:"formSmash:items:resultList:7:j_idt609",widgetVar:"widget_formSmash_items_resultList_7_j_idt609",onLabel:"et al.",offLabel:"et al.",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); Stockholm University, Faculty of Science, Department of Mathematics. Addis Ababa University, Ethiopia.PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:7:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Bøgvad, RikardStockholm University, Faculty of Science, Department of Mathematics.PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:7:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Decomposition factors of D-modules on hyperplane configurations in general position2012In: Proceedings of the American Mathematical Society, ISSN 0002-9939, E-ISSN 1088-6826, Vol. 140, no 8, p. 2699-2711Article in journal (Refereed)Abstract [en] PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_7_j_idt644_0_j_idt645",{id:"formSmash:items:resultList:7:j_idt644:0:j_idt645",widgetVar:"widget_formSmash_items_resultList_7_j_idt644_0_j_idt645",onLabel:"Abstract [en]",offLabel:"Abstract [en]",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); Let alpha(1), ... , alpha(m) be linear functions on C-n and X = C-n \ V(alpha), where alpha = Pi(m)(i=1) alpha(i) and V(alpha) = {p is an element of C-n : alpha(p) = 0}. The coordinate ring O-X = C[x](alpha) of X is a holonomic A(n)-module, where A(n) is the n-th Weyl algebra, and since holonomic A(n)-modules have finite length, O-X has finite length. We consider a twisted variant of this A(n)-module which is also holonomic. Define M-alpha(beta) to be the free rank 1 C[x](alpha)-module on the generator alpha(beta) (thought of as a multivalued function), where alpha(beta) = alpha(beta 1)(1) ... alpha(beta m)(m) and the multi-index beta = (beta(1), ... , beta(m)) is an element of C-m. It is straightforward to describe the decomposition factors of M-alpha(beta), when the linear functions alpha(1), ... , alpha(m) define a normal crossing hyperplane configuration, and we use this to give a sufficient criterion on beta for the irreducibility of M-alpha(beta), in terms of numerical data for a resolution of the singularities of V(alpha).

PrimeFaces.cw("Panel","tryPanel",{id:"formSmash:items:resultList:7:j_idt644:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); 9. A concentration phenomenon for semilinear elliptic equations Ackermann, Nilset al. PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_8_j_idt609",{id:"formSmash:items:resultList:8:j_idt609",widgetVar:"widget_formSmash_items_resultList_8_j_idt609",onLabel:"et al.",offLabel:"et al.",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:8:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Szulkin, AndrzejStockholm University, Faculty of Science, Department of Mathematics.PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:8:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); A concentration phenomenon for semilinear elliptic equations2013In: Archive for Rational Mechanics and Analysis, ISSN 0003-9527, E-ISSN 1432-0673, Vol. 207, no 3, p. 1075-1089Article in journal (Refereed)Abstract [en] PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_8_j_idt644_0_j_idt645",{id:"formSmash:items:resultList:8:j_idt644:0:j_idt645",widgetVar:"widget_formSmash_items_resultList_8_j_idt644_0_j_idt645",onLabel:"Abstract [en]",offLabel:"Abstract [en]",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); For a domain $\Omega\subset\dR^N$ we consider the equation $ -\Delta u + V(x)u = Q_n(x)\abs{u}^{p-2}u$ with zero Dirichlet boundary conditions and $p\in(2,2^*)$. Here $V\ge 0$ and $Q_n$ are bounded functions that are positive in a region contained in $\Omega$ and negative outside, and such that the sets $\{Q_n>0\}$ shrink to a point $x_0\in\Omega$ as $n\to\infty$. We show that if $u_n$ is a nontrivial solution corresponding to $Q_n$, then the sequence $(u_n)$ concentrates at $x_0$ with respect to the $H^1$ and certain $L^q$-norms. We also show that if the sets $\{Q_n>0\}$ shrink to two points and $u_n$ are ground state solutions, then they concentrate at one of these points.

PrimeFaces.cw("Panel","tryPanel",{id:"formSmash:items:resultList:8:j_idt644:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); 10. Dirac-Krein Systems on Star Graphs Adamyan, V.et al. PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_9_j_idt609",{id:"formSmash:items:resultList:9:j_idt609",widgetVar:"widget_formSmash_items_resultList_9_j_idt609",onLabel:"et al.",offLabel:"et al.",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:9:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Langer, H.Tretter, ChristianeStockholm University, Faculty of Science, Department of Mathematics. Universität Bern, Switzerland.Winklmeier, M.PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:9:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Dirac-Krein Systems on Star Graphs2016In: Integral equations and operator theory, ISSN 0378-620X, E-ISSN 1420-8989, Vol. 86, no 1, p. 121-150Article in journal (Refereed)Abstract [en] PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_9_j_idt644_0_j_idt645",{id:"formSmash:items:resultList:9:j_idt644:0:j_idt645",widgetVar:"widget_formSmash_items_resultList_9_j_idt644_0_j_idt645",onLabel:"Abstract [en]",offLabel:"Abstract [en]",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); We study the spectrum of a self-adjoint Dirac–Krein operator with potential on a compact star graph

*G*with a finite number*n*of edges. This operator is defined by a Dirac–Krein differential expression with summable matrix potentials on each edge, by self-adjoint boundary conditions at the outer vertices, and by a self-adjoint matching condition at the common central vertex of*G*. Special attention is paid to Robin matching conditions with parameter τ∈R∪{∞}. Choosing the decoupled operator with Dirichlet condition at the central vertex as a reference operator, we derive Krein’s resolvent formula, introduce corresponding Weyl–Titchmarsh functions, study the multiplicities, dependence on*τ*, and interlacing properties of the eigenvalues, and prove a trace formula. Moreover, we show that, asymptotically for*R*→∞, the difference of the number of eigenvalues in the intervals [0,*R*) and [−*R*,0) deviates from some integer*κ0*, which we call dislocation index, at most by*n*+2.PrimeFaces.cw("Panel","tryPanel",{id:"formSmash:items:resultList:9:j_idt644:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); 11. CUTTING DOWN TREES WITH A MARKOV CHAINSAW Addario-Berry, Louigiet al. PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_10_j_idt609",{id:"formSmash:items:resultList:10:j_idt609",widgetVar:"widget_formSmash_items_resultList_10_j_idt609",onLabel:"et al.",offLabel:"et al.",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:10:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Broutin, NicolasHolmgren, CeciliaStockholm University, Faculty of Science, Department of Mathematics.PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:10:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); CUTTING DOWN TREES WITH A MARKOV CHAINSAW2014In: The Annals of Applied Probability, ISSN 1050-5164, E-ISSN 2168-8737, Vol. 24, no 6, p. 2297-2339Article in journal (Refereed)Abstract [en] PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_10_j_idt644_0_j_idt645",{id:"formSmash:items:resultList:10:j_idt644:0:j_idt645",widgetVar:"widget_formSmash_items_resultList_10_j_idt644_0_j_idt645",onLabel:"Abstract [en]",offLabel:"Abstract [en]",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); We provide simplified proofs for the asymptotic distribution of the number of cuts required to cut down a Galton-Watson tree with critical, finite-variance offspring distribution, conditioned to have total progeny n. Our proof is based on a coupling which yields a precise, nonasymptotic distributional result for the case of uniformly random rooted labeled trees (or, equivalently, Poisson Galton-Watson trees conditioned on their size). Our approach also provides a new, random reversible transformation between Brownian excursion and Brownian bridge.

PrimeFaces.cw("Panel","tryPanel",{id:"formSmash:items:resultList:10:j_idt644:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); 12. Hardy and spectral inequalities for a class of partial differential operators Aermark, Lior Alexandra PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_11_j_idt606",{id:"formSmash:items:resultList:11:j_idt606",widgetVar:"widget_formSmash_items_resultList_11_j_idt606",onLabel:"Aermark, Lior Alexandra ",offLabel:"Aermark, Lior Alexandra ",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); Stockholm University, Faculty of Science, Department of Mathematics.PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:11:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:11:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Hardy and spectral inequalities for a class of partial differential operators2014Doctoral thesis, monograph (Other academic)Abstract [en] PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_11_j_idt644_0_j_idt645",{id:"formSmash:items:resultList:11:j_idt644:0:j_idt645",widgetVar:"widget_formSmash_items_resultList_11_j_idt644_0_j_idt645",onLabel:"Abstract [en]",offLabel:"Abstract [en]",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); This thesis is devoted to the study of Hardy and spectral inequalities for the Heisenberg and the Grushin operators. It consists of five chapters. In chapter 1 we present basic notions and summarize the main results of the thesis. In chapters 2-4 we deal with different types of Hardy inequalities for Laplace and Grushin operators with magnetic and non-magnetic fields. It was shown in an article by Laptev and Weidl that for some magnetic forms in two dimensions, the Hardy inequality holds in its classical form. More precisely, by considering the Aharonov-Bohm magnetic potential, we can improve the constant in the respective Hardy inequality. In chapter 2 we establish an L

^{p}- Hardy inequality related to Laplacians with magnetic fields with Aharonov-Bohm vector potentials. In chapter 3 we introduce a suitable notion of a vector field for the Grushin sub-elliptic operator G and obtain an improvement of the Hardy inequality, which was previously obtained in the paper of N. Garofallo and E. Lanconelli. In chapter 4 we find an L^{p}version of the Hardy inequality obtained in chapter 2. Finally in chapter 5 we aim to find the CLR and Lieb-Thirringbninequalities for harmonic Grushin-type operators. As the Grushin operator is non-elliptic, these inequalities will not take their classical form.PrimeFaces.cw("Panel","tryPanel",{id:"formSmash:items:resultList:11:j_idt644:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Download full text (pdf)fulltext$(function(){PrimeFaces.cw("Tooltip","widget_formSmash_items_resultList_11_j_idt869_0_j_idt872",{id:"formSmash:items:resultList:11:j_idt869:0:j_idt872",widgetVar:"widget_formSmash_items_resultList_11_j_idt869_0_j_idt872",showEffect:"fade",hideEffect:"fade",target:"formSmash:items:resultList:11:j_idt869:0:fullText"});}); 13. Hardy inequalities for a magnetic Grushin operator with Aharonov-Bohm type magnetic field Aermark, Lior PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_12_j_idt606",{id:"formSmash:items:resultList:12:j_idt606",widgetVar:"widget_formSmash_items_resultList_12_j_idt606",onLabel:"Aermark, Lior ",offLabel:"Aermark, Lior ",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); et al. PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_12_j_idt609",{id:"formSmash:items:resultList:12:j_idt609",widgetVar:"widget_formSmash_items_resultList_12_j_idt609",onLabel:"et al.",offLabel:"et al.",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); Stockholm University, Faculty of Science, Department of Mathematics.PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:12:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Laptev, A.PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:12:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Hardy inequalities for a magnetic Grushin operator with Aharonov-Bohm type magnetic field2012In: St. Petersburg Mathematical Journal, ISSN 1061-0022, E-ISSN 1547-7371, Vol. 23, no 2, p. 203-208Article in journal (Refereed)Abstract [en] PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_12_j_idt644_0_j_idt645",{id:"formSmash:items:resultList:12:j_idt644:0:j_idt645",widgetVar:"widget_formSmash_items_resultList_12_j_idt644_0_j_idt645",onLabel:"Abstract [en]",offLabel:"Abstract [en]",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); A version of the Aharonov-Bohm magnetic field for a Grushin subelliptic operator is introduced; then its quadratic form is shown to satisfy an improved Hardy inequality.

PrimeFaces.cw("Panel","tryPanel",{id:"formSmash:items:resultList:12:j_idt644:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); 14. On the Modulus of Continuity of Mappings Between Euclidean Spaces Agbor, Dieudonnéet al. PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_13_j_idt609",{id:"formSmash:items:resultList:13:j_idt609",widgetVar:"widget_formSmash_items_resultList_13_j_idt609",onLabel:"et al.",offLabel:"et al.",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:13:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Boman, JanStockholm University, Faculty of Science, Department of Mathematics.PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:13:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); On the Modulus of Continuity of Mappings Between Euclidean Spaces2013In: Mathematica Scandinavica, ISSN 0025-5521, E-ISSN 1903-1807, Vol. 112, no 1, p. 147-160Article in journal (Refereed)Abstract [en] PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_13_j_idt644_0_j_idt645",{id:"formSmash:items:resultList:13:j_idt644:0:j_idt645",widgetVar:"widget_formSmash_items_resultList_13_j_idt644_0_j_idt645",onLabel:"Abstract [en]",offLabel:"Abstract [en]",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); Let f be a function from R-P to R-q and let Lambda be a finite set of pairs (theta, eta) is an element of R-P x R-q. Assume that the real-valued function (eta, f(x)) is Lipschitz continuous in the direction theta for every (theta, eta) is an element of Lambda. Necessary and sufficient conditions on Lambda are given for this assumption to imply each of the following: (1) that f is Lipschitz continuous, and (2) that f is continuous with modulus of continuity <= C epsilon vertical bar log epsilon vertical bar.

PrimeFaces.cw("Panel","tryPanel",{id:"formSmash:items:resultList:13:j_idt644:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); 15. Persistence of embedded eigenvalues Agmon, Shmuelet al. PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_14_j_idt609",{id:"formSmash:items:resultList:14:j_idt609",widgetVar:"widget_formSmash_items_resultList_14_j_idt609",onLabel:"et al.",offLabel:"et al.",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:14:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Herbst, IraMaad Sasane, SaraStockholm University, Faculty of Science, Department of Mathematics.PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:14:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Persistence of embedded eigenvalues2011In: Journal of Functional Analysis, ISSN 0022-1236, E-ISSN 1096-0783, Vol. 261, no 2, p. 451-477Article in journal (Refereed)Abstract [en] PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_14_j_idt644_0_j_idt645",{id:"formSmash:items:resultList:14:j_idt644:0:j_idt645",widgetVar:"widget_formSmash_items_resultList_14_j_idt644_0_j_idt645",onLabel:"Abstract [en]",offLabel:"Abstract [en]",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); We consider conditions under. which an embedded eigenvalue of a self-adjoint operator remains embedded under small perturbations. In the case of a simple eigenvalue embedded in continuous spectrum of multiplicity m < infinity we show that in favorable situations, the set of small perturbations of a suitable Banach space which do not remove the eigenvalue form a smooth submanifold of codimension in. We also have results regarding the cases when the eigenvalue is degenerate or when the multiplicity of the continuous spectrum is infinite.

PrimeFaces.cw("Panel","tryPanel",{id:"formSmash:items:resultList:14:j_idt644:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); 16. Research biography of a distinguished expert in the field of inverse problems Agranovsky, Market al. PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_15_j_idt609",{id:"formSmash:items:resultList:15:j_idt609",widgetVar:"widget_formSmash_items_resultList_15_j_idt609",onLabel:"et al.",offLabel:"et al.",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:15:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Boman, JanStockholm University, Faculty of Science, Department of Mathematics.Hasanov, AlemdarFelea, RalucaFrikel, JürgenKrishnan, VenkyNovikov, RomanRamlau, RonnySebu, CristianaPrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:15:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Research biography of a distinguished expert in the field of inverse problems: Professor Eric Todd Quinto2022In: Journal of Inverse and Ill-Posed Problems, ISSN 0928-0219, E-ISSN 1569-3945, Vol. 30, no 4, p. 613-617Article in journal (Refereed)Abstract [en] PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_15_j_idt644_0_j_idt645",{id:"formSmash:items:resultList:15:j_idt644:0:j_idt645",widgetVar:"widget_formSmash_items_resultList_15_j_idt644_0_j_idt645",onLabel:"Abstract [en]",offLabel:"Abstract [en]",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); This article gives a brief overview of the research in microlocal analysis, tomography, and integral geometry of Professor Eric Todd Quinto, Robinson Professor of Mathematics at Tufts University, along with the collaborators and colleagues who influenced his work.

PrimeFaces.cw("Panel","tryPanel",{id:"formSmash:items:resultList:15:j_idt644:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); 17. A temporal perspective on the rate of convergence in first-passage percolation under a moment condition Ahlberg, Daniel PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_16_j_idt606",{id:"formSmash:items:resultList:16:j_idt606",widgetVar:"widget_formSmash_items_resultList_16_j_idt606",onLabel:"Ahlberg, Daniel ",offLabel:"Ahlberg, Daniel ",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); Stockholm University, Faculty of Science, Department of Mathematics.PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:16:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:16:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); A temporal perspective on the rate of convergence in first-passage percolation under a moment condition2019In: Brazilian Journal of Probability and Statistics, ISSN 0103-0752, E-ISSN 2317-6199, Vol. 33, no 2, p. 397-401Article in journal (Refereed)Abstract [en] PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_16_j_idt644_0_j_idt645",{id:"formSmash:items:resultList:16:j_idt644:0:j_idt645",widgetVar:"widget_formSmash_items_resultList_16_j_idt644_0_j_idt645",onLabel:"Abstract [en]",offLabel:"Abstract [en]",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); We study the rate of convergence in the celebrated Shape Theorem in first-passage percolation, obtaining the precise asymptotic rate of decay for the probability of linear order deviations under a moment condition. Our results are presented from a temporal perspective and complement previous work by the same author, in which the rate of convergence was studied from the standard spatial perspective.

PrimeFaces.cw("Panel","tryPanel",{id:"formSmash:items:resultList:16:j_idt644:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); 18. Tertiles and the time constant Ahlberg, Daniel PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_17_j_idt606",{id:"formSmash:items:resultList:17:j_idt606",widgetVar:"widget_formSmash_items_resultList_17_j_idt606",onLabel:"Ahlberg, Daniel ",offLabel:"Ahlberg, Daniel ",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); Stockholm University, Faculty of Science, Department of Mathematics.PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:17:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:17:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Tertiles and the time constant2020In: Journal of Applied Probability, ISSN 0021-9002, E-ISSN 1475-6072, Vol. 57, no 2, p. 407-408Article in journal (Refereed)Abstract [en] PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_17_j_idt644_0_j_idt645",{id:"formSmash:items:resultList:17:j_idt644:0:j_idt645",widgetVar:"widget_formSmash_items_resultList_17_j_idt644_0_j_idt645",onLabel:"Abstract [en]",offLabel:"Abstract [en]",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); We consider planar first-passage percolation and show that the time constant can be bounded by multiples of the first and second tertiles of the weight distribution. As a consequence, we obtain a counter-example to a problem proposed by Alm and Deijfen (2015).

PrimeFaces.cw("Panel","tryPanel",{id:"formSmash:items:resultList:17:j_idt644:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); 19. Noise sensitivity and Voronoi percolation Ahlberg, Daniel PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_18_j_idt606",{id:"formSmash:items:resultList:18:j_idt606",widgetVar:"widget_formSmash_items_resultList_18_j_idt606",onLabel:"Ahlberg, Daniel ",offLabel:"Ahlberg, Daniel ",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); et al. PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_18_j_idt609",{id:"formSmash:items:resultList:18:j_idt609",widgetVar:"widget_formSmash_items_resultList_18_j_idt609",onLabel:"et al.",offLabel:"et al.",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); Stockholm University, Faculty of Science, Department of Mathematics.PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:18:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Baldasso, RangelPrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:18:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Noise sensitivity and Voronoi percolation2018In: Electronic Journal of Probability, ISSN 1083-6489, E-ISSN 1083-6489, Vol. 23, article id 108Article in journal (Refereed)Abstract [en] PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_18_j_idt644_0_j_idt645",{id:"formSmash:items:resultList:18:j_idt644:0:j_idt645",widgetVar:"widget_formSmash_items_resultList_18_j_idt644_0_j_idt645",onLabel:"Abstract [en]",offLabel:"Abstract [en]",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); In this paper we study noise sensitivity and threshold phenomena for Poisson Voronoi percolation on R-2. In the setting of Boolean functions, both threshold phenomena and noise sensitivity can be understood via the study of randomized algorithms. Together with a simple discretization argument, such techniques apply also to the continuum setting. Via the study of a suitable algorithm we show that box-crossing events in Voronoi percolation are noise sensitive and present a threshold phenomenon with polynomial window. We also study the effect of other kinds of perturbations, and emphasize the fact that the techniques we use apply for a broad range of models.

PrimeFaces.cw("Panel","tryPanel",{id:"formSmash:items:resultList:18:j_idt644:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); 20. THE TWO-TYPE RICHARDSON MODEL IN THE HALF-PLANE Ahlberg, Daniel PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_19_j_idt606",{id:"formSmash:items:resultList:19:j_idt606",widgetVar:"widget_formSmash_items_resultList_19_j_idt606",onLabel:"Ahlberg, Daniel ",offLabel:"Ahlberg, Daniel ",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); et al. PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_19_j_idt609",{id:"formSmash:items:resultList:19:j_idt609",widgetVar:"widget_formSmash_items_resultList_19_j_idt609",onLabel:"et al.",offLabel:"et al.",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); Stockholm University, Faculty of Science, Department of Mathematics.PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:19:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Deijfen, MariaStockholm University, Faculty of Science, Department of Mathematics.Hoffman, ChristopherPrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:19:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); THE TWO-TYPE RICHARDSON MODEL IN THE HALF-PLANE2020In: The Annals of Applied Probability, ISSN 1050-5164, E-ISSN 2168-8737, Vol. 30, no 5, p. 2261-2273Article in journal (Refereed)Abstract [en] PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_19_j_idt644_0_j_idt645",{id:"formSmash:items:resultList:19:j_idt644:0:j_idt645",widgetVar:"widget_formSmash_items_resultList_19_j_idt644_0_j_idt645",onLabel:"Abstract [en]",offLabel:"Abstract [en]",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); The two-type Richardson model describes the growth of two competing infection types on the two or higher dimensional integer lattice. For types that spread with the same intensity, it is known that there is a positive probability for infinite coexistence, while for types with different intensities, it is conjectured that infinite coexistence is not possible. In this paper we study the two-type Richardson model in the upper half-plane Z x Z(+), and prove that coexistence of two types starting on the horizontal axis has positive probability if and only if the types have the same intensity.

PrimeFaces.cw("Panel","tryPanel",{id:"formSmash:items:resultList:19:j_idt644:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); 21. Competing first passage percolation on random graphs with finite variance degrees Ahlberg, Daniel PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_20_j_idt606",{id:"formSmash:items:resultList:20:j_idt606",widgetVar:"widget_formSmash_items_resultList_20_j_idt606",onLabel:"Ahlberg, Daniel ",offLabel:"Ahlberg, Daniel ",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); et al. PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_20_j_idt609",{id:"formSmash:items:resultList:20:j_idt609",widgetVar:"widget_formSmash_items_resultList_20_j_idt609",onLabel:"et al.",offLabel:"et al.",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); Stockholm University, Faculty of Science, Department of Mathematics.PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:20:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Deijfen, MariaStockholm University, Faculty of Science, Department of Mathematics.Janson, SvantePrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:20:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Competing first passage percolation on random graphs with finite variance degrees2019In: Random structures & algorithms (Print), ISSN 1042-9832, E-ISSN 1098-2418, Vol. 55, no 3, p. 545-559Article in journal (Refereed)Abstract [en] PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_20_j_idt644_0_j_idt645",{id:"formSmash:items:resultList:20:j_idt644:0:j_idt645",widgetVar:"widget_formSmash_items_resultList_20_j_idt644_0_j_idt645",onLabel:"Abstract [en]",offLabel:"Abstract [en]",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); We study the growth of two competing infection types on graphs generated by the configuration model with a given degree sequence. Starting from two vertices chosen uniformly at random, the infection types spread via the edges in the graph in that an uninfected vertex becomes type 1 (2) infected at rate lambda(1) (lambda(2)) times the number of nearest neighbors of type 1 (2). Assuming (essentially) that the degree of a randomly chosen vertex has finite second moment, we show that if lambda(1) = lambda(2), then the fraction of vertices that are ultimately infected by type 1 converges to a continuous random variable V is an element of (0,1), as the number of vertices tends to infinity. Both infection types hence occupy a positive (random) fraction of the vertices. If lambda(1) not equal lambda(2), on the other hand, then the type with the larger intensity occupies all but a vanishing fraction of the vertices. Our results apply also to a uniformly chosen simple graph with the given degree sequence.

PrimeFaces.cw("Panel","tryPanel",{id:"formSmash:items:resultList:20:j_idt644:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); 22. To fixate or not to fixate in two-type annihilating branching random walks Ahlberg, Daniel PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_21_j_idt606",{id:"formSmash:items:resultList:21:j_idt606",widgetVar:"widget_formSmash_items_resultList_21_j_idt606",onLabel:"Ahlberg, Daniel ",offLabel:"Ahlberg, Daniel ",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); et al. PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_21_j_idt609",{id:"formSmash:items:resultList:21:j_idt609",widgetVar:"widget_formSmash_items_resultList_21_j_idt609",onLabel:"et al.",offLabel:"et al.",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); Stockholm University, Faculty of Science, Department of Mathematics.PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:21:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Griffiths, SimonJanson, SvantePrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:21:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); To fixate or not to fixate in two-type annihilating branching random walks2021In: Annals of Probability, ISSN 0091-1798, E-ISSN 2168-894X, Vol. 49, no 5, p. 2637-2667Article in journal (Refereed)Abstract [en] PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_21_j_idt644_0_j_idt645",{id:"formSmash:items:resultList:21:j_idt644:0:j_idt645",widgetVar:"widget_formSmash_items_resultList_21_j_idt644_0_j_idt645",onLabel:"Abstract [en]",offLabel:"Abstract [en]",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); We study a model of competition between two types evolving as branching random walks on Z(d). The two types are represented by red and blue balls, respectively, with the rule that balls of different colour annihilate upon contact. We consider initial configurations in which the sites of Z(d) contain one ball each which are independently coloured red with probability p and blue otherwise. We address the question of fixation, referring to the sites and eventually settling for a given colour or not. Under a mild moment condition on the branching rule, we prove that the process will fixate almost surely for p not equal 1/2 and that every site will change colour infinitely often almost surely for the balanced initial condition p = 1/2.

PrimeFaces.cw("Panel","tryPanel",{id:"formSmash:items:resultList:21:j_idt644:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); 23. Competition in growth and urns Ahlberg, Daniel PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_22_j_idt606",{id:"formSmash:items:resultList:22:j_idt606",widgetVar:"widget_formSmash_items_resultList_22_j_idt606",onLabel:"Ahlberg, Daniel ",offLabel:"Ahlberg, Daniel ",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); et al. PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_22_j_idt609",{id:"formSmash:items:resultList:22:j_idt609",widgetVar:"widget_formSmash_items_resultList_22_j_idt609",onLabel:"et al.",offLabel:"et al.",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); Stockholm University, Faculty of Science, Department of Mathematics.PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:22:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Griffiths, SimonJanson, SvanteMorris, RobertPrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:22:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Competition in growth and urns2019In: Random structures & algorithms (Print), ISSN 1042-9832, E-ISSN 1098-2418, Vol. 54, no 2, p. 211-227Article in journal (Refereed)Abstract [en] PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_22_j_idt644_0_j_idt645",{id:"formSmash:items:resultList:22:j_idt644:0:j_idt645",widgetVar:"widget_formSmash_items_resultList_22_j_idt644_0_j_idt645",onLabel:"Abstract [en]",offLabel:"Abstract [en]",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); We study survival among two competing types in two settings: a planar growth model related to two-neighbor bootstrap percolation, and a system of urns with graph-based interactions. In the planar growth model, uncolored sites are given a color at rate 0, 1 or infinity, depending on whether they have zero, one, or at least two neighbors of that color. In the urn scheme, each vertex of a graph G has an associated urn containing some number of either blue or red balls ( but not both). At each time step, a ball is chosen uniformly at random from all those currently present in the system, a ball of the same color is added to each neighboring urn, and balls in the same urn but of different colors annihilate on a one-for-one basis. We show that, for every connected graph G and every initial configuration, only one color survives almost surely. As a corollary, we deduce that in the two-type growth model on Z(2), one of the colors only infects a finite number of sites with probability one. We also discuss generalizations to higher dimensions and multi-type processes, and list a number of open problems and conjectures.

PrimeFaces.cw("Panel","tryPanel",{id:"formSmash:items:resultList:22:j_idt644:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); 24. Existence of an unbounded vacant set for subcritical continuum percolation Ahlberg, Daniel PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_23_j_idt606",{id:"formSmash:items:resultList:23:j_idt606",widgetVar:"widget_formSmash_items_resultList_23_j_idt606",onLabel:"Ahlberg, Daniel ",offLabel:"Ahlberg, Daniel ",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); et al. PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_23_j_idt609",{id:"formSmash:items:resultList:23:j_idt609",widgetVar:"widget_formSmash_items_resultList_23_j_idt609",onLabel:"et al.",offLabel:"et al.",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); Stockholm University, Faculty of Science, Department of Mathematics.PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:23:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Tassion, VincentTeixeira, AugustoPrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:23:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Existence of an unbounded vacant set for subcritical continuum percolation2018In: Electronic Communications in Probability, E-ISSN 1083-589X, Vol. 23, article id 63Article in journal (Refereed)Abstract [en] PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_23_j_idt644_0_j_idt645",{id:"formSmash:items:resultList:23:j_idt644:0:j_idt645",widgetVar:"widget_formSmash_items_resultList_23_j_idt644_0_j_idt645",onLabel:"Abstract [en]",offLabel:"Abstract [en]",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); We consider the Poisson Boolean percolation model in R-2, where the radius of each ball is independently chosen according to some probability measure with finite second moment. For this model, we show that the two thresholds, for the existence of an unbounded occupied and an unbounded vacant component, coincide. This complements a recent study of the sharpness of the phase transition in Poisson Boolean percolation by the same authors. As a corollary it follows that for Poisson Boolean percolation in R-d, for any d >= 2, finite moment of order d is both necessary and sufficient for the existence of a nontrivial phase transition for the vacant set.

PrimeFaces.cw("Panel","tryPanel",{id:"formSmash:items:resultList:23:j_idt644:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); 25. How much are the greenland and antarctic ice sheets melting? Ahlkrona, Josefin PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_24_j_idt606",{id:"formSmash:items:resultList:24:j_idt606",widgetVar:"widget_formSmash_items_resultList_24_j_idt606",onLabel:"Ahlkrona, Josefin ",offLabel:"Ahlkrona, Josefin ",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); Stockholm University, Faculty of Science, Department of Mathematics. Uppsala University, Sweden; Kiel University, Germany.PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:24:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:24:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); How much are the greenland and antarctic ice sheets melting?2018In: XRDS: Crossroads, The ACM Magazine for Students, ISSN 1528-4972, Vol. 25, no 1, p. 42-47Article in journal (Other (popular science, discussion, etc.))26. A cut finite element method for non-Newtonian free surface flows in 2D - application to glacier modelling Ahlkrona, Josefin PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_25_j_idt606",{id:"formSmash:items:resultList:25:j_idt606",widgetVar:"widget_formSmash_items_resultList_25_j_idt606",onLabel:"Ahlkrona, Josefin ",offLabel:"Ahlkrona, Josefin ",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); et al. PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_25_j_idt609",{id:"formSmash:items:resultList:25:j_idt609",widgetVar:"widget_formSmash_items_resultList_25_j_idt609",onLabel:"et al.",offLabel:"et al.",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); Stockholm University, Faculty of Science, Department of Mathematics. Swedish e-Science Research Centre (SeRC), Sweden.PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:25:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Elfverson, DanielPrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:25:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); A cut finite element method for non-Newtonian free surface flows in 2D - application to glacier modelling2021In: Journal of Computational Physics: X, ISSN 2590-0552, Vol. 11, article id 100090Article in journal (Refereed)Abstract [en] PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_25_j_idt644_0_j_idt645",{id:"formSmash:items:resultList:25:j_idt644:0:j_idt645",widgetVar:"widget_formSmash_items_resultList_25_j_idt644_0_j_idt645",onLabel:"Abstract [en]",offLabel:"Abstract [en]",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); In ice sheet and glacier modelling, the Finite Element Method is rapidly gaining popularity. However, constructing and updating meshes for ice sheets and glaciers is a non-trivial and computationally demanding task due to their thin, irregular, and time dependent geometry. In this paper we introduce a novel approach to ice dynamics computations based on the unfitted Finite Element Method CutFEM, which lets the domain boundary cut through elements. By employing CutFEM, complex meshing and remeshing is avoided as the glacier can be immersed in a simple background mesh without loss of accuracy. The ice is modelled as a non-Newtonian, shear-thinning fluid obeying the p-Stokes (full Stokes) equations with the ice atmosphere interface as a moving free surface. A Navier slip boundary condition applies at the glacier base allowing both bedrock and subglacial lakes to be represented. Within the CutFEM framework we develop a strategy for handling non-linear viscosities and thin domains and show how glacier deformation can be modelled using a level set function. In numerical experiments we show that the expected order of accuracy is achieved and that the method is robust with respect to penalty parameters. As an application we compute the velocity field of the Swiss mountain glacier Haut Glacier d'Arolla in 2D with and without an underlying subglacial lake, and simulate the glacier deformation from year 1930 to 1932, with and without surface accumulation and basal melt.

PrimeFaces.cw("Panel","tryPanel",{id:"formSmash:items:resultList:25:j_idt644:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); 27. The etale cohomology ring of the ring of integers of a number field Ahlqvist, Ericet al. PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_26_j_idt609",{id:"formSmash:items:resultList:26:j_idt609",widgetVar:"widget_formSmash_items_resultList_26_j_idt609",onLabel:"et al.",offLabel:"et al.",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:26:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Carlson, MagnusStockholm University, Faculty of Science, Department of Mathematics.PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:26:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); The etale cohomology ring of the ring of integers of a number field2023In: Research in Number Theory, ISSN 2522-0160, Vol. 9, no 3, article id 58Article in journal (Refereed)Abstract [en] PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_26_j_idt644_0_j_idt645",{id:"formSmash:items:resultList:26:j_idt644:0:j_idt645",widgetVar:"widget_formSmash_items_resultList_26_j_idt644_0_j_idt645",onLabel:"Abstract [en]",offLabel:"Abstract [en]",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); We compute the cohomology ring H*(X, Z/nZ) for X the spectrum of the ring of integers of a number field K. As an application, we give a non-vanishing formula for an invariant defined by Minhyong Kim.

PrimeFaces.cw("Panel","tryPanel",{id:"formSmash:items:resultList:26:j_idt644:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); 28. The graded Betti numbers of truncation of ideals in polynomial rings Ahmed, Chwaset al. PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_27_j_idt609",{id:"formSmash:items:resultList:27:j_idt609",widgetVar:"widget_formSmash_items_resultList_27_j_idt609",onLabel:"et al.",offLabel:"et al.",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:27:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Fröberg, RalfStockholm University, Faculty of Science, Department of Mathematics.Rafiq Namiq, MohammedPrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:27:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); The graded Betti numbers of truncation of ideals in polynomial rings2023In: Journal of Algebraic Combinatorics, ISSN 0925-9899, E-ISSN 1572-9192, Vol. 57, no 4, p. 1303-1312Article in journal (Refereed)Abstract [en] PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_27_j_idt644_0_j_idt645",{id:"formSmash:items:resultList:27:j_idt644:0:j_idt645",widgetVar:"widget_formSmash_items_resultList_27_j_idt644_0_j_idt645",onLabel:"Abstract [en]",offLabel:"Abstract [en]",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); Let R=K[x

_{1},…,x_{n}], a graded algebra S=R/I satisfies N_{k,p}if I is generated in degree k, and the graded minimal resolution is linear the first p steps, and the k-index of S is the largest p such that S satisfies N_{k,p}. Eisenbud and Goto have shown that for any graded ring R/I, then R/I_{≥k}, where I_{≥k}=I∩M^{k}and M=(x_{1},…,x_{n}), has a k-linear resolution (satisfies N_{k,p}for all p) if k≫0. For a squarefree monomial ideal I, we are here interested in the ideal I_{k}which is the squarefree part of I_{≥k}. The ideal I is, via Stanley–Reisner correspondence, associated to a simplicial complex Δ_{I}. In this case, all Betti numbers of R/I_{k}for k>min{deg(u)∣u∈I}, which of course are a much finer invariant than the index, can be determined from the Betti diagram of R/I and the f-vector of Δ_{I}. We compare our results with the corresponding statements for I_{≥k}. (Here I is an arbitrary graded ideal.) In this case, we show that the Betti numbers of R/I_{≥k}can be determined from the Betti numbers of R/I and the Hilbert series of R/I_{≥k}.PrimeFaces.cw("Panel","tryPanel",{id:"formSmash:items:resultList:27:j_idt644:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); 29. Preface to the MSCS Issue 31.1 (2021) Homotopy Type Theory and Univalent Foundations Ahrens, Benediktet al. PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_28_j_idt609",{id:"formSmash:items:resultList:28:j_idt609",widgetVar:"widget_formSmash_items_resultList_28_j_idt609",onLabel:"et al.",offLabel:"et al.",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:28:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Huber, SimonMörtberg, AndersStockholm University, Faculty of Science, Department of Mathematics.PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:28:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Preface to the MSCS Issue 31.1 (2021) Homotopy Type Theory and Univalent Foundations2021In: Mathematical Structures in Computer Science, ISSN 0960-1295, E-ISSN 1469-8072, Vol. 31, no 1, p. 1-2Article in journal (Other academic)30. Displayed Categories Ahrens, Benediktet al. PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_29_j_idt609",{id:"formSmash:items:resultList:29:j_idt609",widgetVar:"widget_formSmash_items_resultList_29_j_idt609",onLabel:"et al.",offLabel:"et al.",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:29:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Lumsdaine, Peter LefanuStockholm University, Faculty of Science, Department of Mathematics.PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:29:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Displayed Categories2019In: Logical Methods in Computer Science, ISSN 1860-5974, E-ISSN 1860-5974, Vol. 15, no 1, article id 20Article in journal (Refereed)Abstract [en] PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_29_j_idt644_0_j_idt645",{id:"formSmash:items:resultList:29:j_idt644:0:j_idt645",widgetVar:"widget_formSmash_items_resultList_29_j_idt644_0_j_idt645",onLabel:"Abstract [en]",offLabel:"Abstract [en]",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); We introduce and develop the notion of displayed categories. A displayed category over a category C is equivalent to 'a category D and functor F : D -> C', but instead of having a single collection of 'objects of D' with a map to the objects of C, the objects are given as a family indexed by objects of C, and similarly for the morphisms. This encapsulates a common way of building categories in practice, by starting with an existing category and adding extra data/properties to the objects and morphisms. The interest of this seemingly trivial reformulation is that various properties of functors are more naturally defined as properties of the corresponding displayed categories. Grothendieck fibrations, for example, when defined as certain functors, use equality on objects in their definition. When defined instead as certain displayed categories, no reference to equality on objects is required. Moreover, almost all examples of fibrations in nature are, in fact, categories whose standard construction can be seen as going via displayed categories. We therefore propose displayed categories as a basis for the development of fibrations in the type-theoretic setting, and similarly for various other notions whose classical definitions involve equality on objects. Besides giving a conceptual clarification of such issues, displayed categories also provide a powerful tool in computer formalisation, unifying and abstracting common constructions and proof techniques of category theory, and enabling modular reasoning about categories of multi-component structures. As such, most of the material of this article has been formalised in Coq over the UniMath library, with the aim of providing a practical library for use in further developments.

PrimeFaces.cw("Panel","tryPanel",{id:"formSmash:items:resultList:29:j_idt644:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); 31. CATEGORICAL STRUCTURES FOR TYPE THEORY IN UNIVALENT FOUNDATIONS Ahrens, Benediktet al. PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_30_j_idt609",{id:"formSmash:items:resultList:30:j_idt609",widgetVar:"widget_formSmash_items_resultList_30_j_idt609",onLabel:"et al.",offLabel:"et al.",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:30:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Lumsdaine, Peter LefanuStockholm University, Faculty of Science, Department of Mathematics.Voevodsky, VladimirPrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:30:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); CATEGORICAL STRUCTURES FOR TYPE THEORY IN UNIVALENT FOUNDATIONS2018In: Logical Methods in Computer Science, ISSN 1860-5974, E-ISSN 1860-5974, Vol. 14, no 3, article id 18Article in journal (Refereed)Abstract [en] PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_30_j_idt644_0_j_idt645",{id:"formSmash:items:resultList:30:j_idt644:0:j_idt645",widgetVar:"widget_formSmash_items_resultList_30_j_idt644_0_j_idt645",onLabel:"Abstract [en]",offLabel:"Abstract [en]",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); In this paper, we analyze and compare three of the many algebraic structures that have been used for modeling dependent type theories: categories with families, split type-categories, and representable maps of presheaves. We study these in univalent type theory, where the comparisons between them can be given more elementarily than in set-theoretic foundations. Specifically, we construct maps between the various types of structures, and show that assuming the Univalence axiom, some of the comparisons are equivalences. We then analyze how these structures transfer along (weak and strong) equivalences of categories, and, in particular, show how they descend from a category (not assumed univalent/saturated) to its Rezk completion. To this end, we introduce relative universes, generalizing the preceding notions, and study the transfer of such relative universes along suitable structure. We work throughout in (intensional) dependent type theory; some results, but not all, assume the univalence axiom. All the material of this paper has been formalized in Coq, over the UniMath library.

PrimeFaces.cw("Panel","tryPanel",{id:"formSmash:items:resultList:30:j_idt644:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); 32. Implementing a category-theoretic framework for typed abstract syntax Ahrens, Benediktet al. PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_31_j_idt609",{id:"formSmash:items:resultList:31:j_idt609",widgetVar:"widget_formSmash_items_resultList_31_j_idt609",onLabel:"et al.",offLabel:"et al.",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:31:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Matthes, RalphMörtberg, AndersStockholm University, Faculty of Science, Department of Mathematics.PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:31:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Implementing a category-theoretic framework for typed abstract syntax2022In: CPP '22: Proceedings of the 11th ACM SIGPLAN International Conference on Certified Programs and Proofs / [ed] Andrei Popescu; Steve Zdancewic, New York: Association for Computing Machinery (ACM), 2022, p. 307-323Conference paper (Refereed)Abstract [en] PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_31_j_idt644_0_j_idt645",{id:"formSmash:items:resultList:31:j_idt644:0:j_idt645",widgetVar:"widget_formSmash_items_resultList_31_j_idt644_0_j_idt645",onLabel:"Abstract [en]",offLabel:"Abstract [en]",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); In previous work ("From signatures to monads in UniMath"),we described a category-theoretic construction of abstract syntax from a signature, mechanized in the UniMath library based on the Coq proof assistant.

In the present work, we describe what was necessary to generalize that work to account for simply-typed languages. First, some definitions had to be generalized to account for the natural appearance of non-endofunctors in the simply-typed case. As it turns out, in many cases our mechanized results carried over to the generalized definitions without any code change. Second, an existing mechanized library on 𝜔-cocontinuous functors had to be extended by constructions and theorems necessary for constructing multi-sorted syntax. Third, the theoretical framework for the semantical signatures had to be generalized from a monoidal to a bicategorical setting, again to account for non-endofunctors arising in the typed case. This uses actions of endofunctors on functors with given source, and the corresponding notion of strong functors between actions, all formalized in UniMath using a recently developed library of bicategory theory. We explain what needed to be done to plug all of these ingredients together, modularly.

The main result of our work is a general construction that, when fed with a signature for a simply-typed language, returns an implementation of that language together with suitable boilerplate code, in particular, a certified monadic substitution operation.

PrimeFaces.cw("Panel","tryPanel",{id:"formSmash:items:resultList:31:j_idt644:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); 33. MIRROR SYMMETRY AND THE CLASSIFICATION OF ORBIFOLD DEL PEZZO SURFACES Akhtar, Mohammadet al. PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_32_j_idt609",{id:"formSmash:items:resultList:32:j_idt609",widgetVar:"widget_formSmash_items_resultList_32_j_idt609",onLabel:"et al.",offLabel:"et al.",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:32:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Coates, TomCorti, AlessioHeuberger, LianaKasprzyk, AlexanderOneto, AlessandroStockholm University, Faculty of Science, Department of Mathematics.Petracci, AndreaPrince, ThomasTveiten, KetilStockholm University, Faculty of Science, Department of Mathematics.PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:32:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); MIRROR SYMMETRY AND THE CLASSIFICATION OF ORBIFOLD DEL PEZZO SURFACES2016In: Proceedings of the American Mathematical Society, ISSN 0002-9939, E-ISSN 1088-6826, Vol. 144, no 2, p. 513-527Article in journal (Refereed)Abstract [en] PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_32_j_idt644_0_j_idt645",{id:"formSmash:items:resultList:32:j_idt644:0:j_idt645",widgetVar:"widget_formSmash_items_resultList_32_j_idt644_0_j_idt645",onLabel:"Abstract [en]",offLabel:"Abstract [en]",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); We state a number of conjectures that together allow one to classify a broad class of del Pezzo surfaces with cyclic quotient singularities using mirror symmetry. We prove our conjectures in the simplest cases. The conjectures relate mutation-equivalence classes of Fano polygons with Q-Gorenstein deformation classes of del Pezzo surfaces.

PrimeFaces.cw("Panel","tryPanel",{id:"formSmash:items:resultList:32:j_idt644:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); 34. The inductive wedge product of positive currents Al Abdulaali, Ahmad PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_33_j_idt606",{id:"formSmash:items:resultList:33:j_idt606",widgetVar:"widget_formSmash_items_resultList_33_j_idt606",onLabel:"Al Abdulaali, Ahmad ",offLabel:"Al Abdulaali, Ahmad ",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); Stockholm University, Faculty of Science, Department of Mathematics.PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:33:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:33:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); The inductive wedge product of positive currentsManuscript (preprint) (Other academic)Abstract [en] PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_33_j_idt644_0_j_idt645",{id:"formSmash:items:resultList:33:j_idt644:0:j_idt645",widgetVar:"widget_formSmash_items_resultList_33_j_idt644_0_j_idt645",onLabel:"Abstract [en]",offLabel:"Abstract [en]",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); In this paper, we discuss the wedge product of positive pluriharmonic (resp. plurisubharmonic) current of bidimension $(p,p)$ with the Monge-Ampère operator of plurisubharmonic function. In the first part of the paper, we define this product when the locus points of the plurisubharmonic function are located in a (2p-2)-dimensional closed set (resp. (2p-4)-dimensional sets), in the sense of Hartogs. The second part treats the case when these locus points are contained in a compact complete pluripolar sets and p≥ 2 (resp. p≥3).

PrimeFaces.cw("Panel","tryPanel",{id:"formSmash:items:resultList:33:j_idt644:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); 35. On the Extension and Wedge Product of Positive Currents Al Abdulaali, Ahmad Khalid PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_34_j_idt606",{id:"formSmash:items:resultList:34:j_idt606",widgetVar:"widget_formSmash_items_resultList_34_j_idt606",onLabel:"Al Abdulaali, Ahmad Khalid ",offLabel:"Al Abdulaali, Ahmad Khalid ",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); Stockholm University, Faculty of Science, Department of Mathematics.PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:34:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:34:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); On the Extension and Wedge Product of Positive Currents2012Doctoral thesis, comprehensive summary (Other academic)Abstract [en] PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_34_j_idt644_0_j_idt645",{id:"formSmash:items:resultList:34:j_idt644:0:j_idt645",widgetVar:"widget_formSmash_items_resultList_34_j_idt644_0_j_idt645",onLabel:"Abstract [en]",offLabel:"Abstract [en]",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); This dissertation is concerned with extensions and wedge products of positive currents. Our study can be considered as a generalization for classical works done earlier in this field.

Paper I deals with the extension of positive currents across different types of sets. For closed complete pluripolar obstacles, we show the existence of such extensions. To do so, further Hausdorff dimension conditions are required. Moreover, we study the case when these obstacles are zero sets of strictly

*k*-convex functions.In Paper II, we discuss the wedge product of positive pluriharmonic (resp. plurisubharmonic) current of bidimension

*(p,p)*with the Monge-Ampère operator of plurisubharmonic function. In the first part of the paper, we define this product when the locus points of the plurisubharmonic function are located in a*(2p-2)*-dimensional closed set (resp.*(2p-4)*-dimensional sets), in the sense of Hartogs. The second part treats the case when these locus points are contained in a compact complete pluripolar sets and*p≥2*(resp.*p≥3*).Paper III studies the extendability of negative

*S*-plurisubharmonic current of bidimension*(p,p)*across a*(2p-2)*-dimensional closed set. Using only the positivity of S, we show that such extensions exist in the case when these obstacles are complete pluripolar, as well as zero sets of*C*^{2}-plurisubharmoinc functions.PrimeFaces.cw("Panel","tryPanel",{id:"formSmash:items:resultList:34:j_idt644:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Download full text (pdf)fulltext$(function(){PrimeFaces.cw("Tooltip","widget_formSmash_items_resultList_34_j_idt869_0_j_idt872",{id:"formSmash:items:resultList:34:j_idt869:0:j_idt872",widgetVar:"widget_formSmash_items_resultList_34_j_idt869_0_j_idt872",showEffect:"fade",hideEffect:"fade",target:"formSmash:items:resultList:34:j_idt869:0:fullText"});}); 36. Embedding Small Digraphs and Permutations in Binary Trees and Split Trees Albert, Michaelet al. PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_35_j_idt609",{id:"formSmash:items:resultList:35:j_idt609",widgetVar:"widget_formSmash_items_resultList_35_j_idt609",onLabel:"et al.",offLabel:"et al.",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:35:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Holmgren, CeciliaJohansson, TonyStockholm University, Faculty of Science, Department of Mathematics.Skerman, FionaPrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:35:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Embedding Small Digraphs and Permutations in Binary Trees and Split Trees2020In: Algorithmica, ISSN 0178-4617, E-ISSN 1432-0541, Vol. 82, no 3, p. 589-615Article in journal (Refereed)Abstract [en] PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_35_j_idt644_0_j_idt645",{id:"formSmash:items:resultList:35:j_idt644:0:j_idt645",widgetVar:"widget_formSmash_items_resultList_35_j_idt644_0_j_idt645",onLabel:"Abstract [en]",offLabel:"Abstract [en]",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); We investigate the number of permutations that occur in random labellings of trees. This is a generalisation of the number of subpermutations occurring in a random permutation. It also generalises some recent results on the number of inversions in randomly labelled trees (Cai et al. in Combin Probab Comput 28(3):335-364, 2019). We consider complete binary trees as well as random split trees a large class of random trees of logarithmic height introduced by Devroye (SIAM J Comput 28(2):409-432, 1998. 10.1137/s0097539795283954). Split trees consist of nodes (bags) which can contain balls and are generated by a random trickle down process of balls through the nodes. For complete binary trees we show that asymptotically the cumulants of the number of occurrences of a fixed permutation in the random node labelling have explicit formulas. Our other main theorem is to show that for a random split tree, with probability tending to one as the number of balls increases, the cumulants of the number of occurrences are asymptotically an explicit parameter of the split tree. For the proof of the second theorem we show some results on the number of embeddings of digraphs into split trees which may be of independent interest.

PrimeFaces.cw("Panel","tryPanel",{id:"formSmash:items:resultList:35:j_idt644:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); 37. Singular perturbations of differential operators Albeverio, Sergioet al. PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_36_j_idt609",{id:"formSmash:items:resultList:36:j_idt609",widgetVar:"widget_formSmash_items_resultList_36_j_idt609",onLabel:"et al.",offLabel:"et al.",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:36:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Kurasov, PavelStockholm University, Faculty of Science, Department of Mathematics.PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:36:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Singular perturbations of differential operators: solvable Schrödinger type operators2000Book (Refereed)38. Combinatorial Methods in Complex Analysis Alexandersson, Per PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_37_j_idt606",{id:"formSmash:items:resultList:37:j_idt606",widgetVar:"widget_formSmash_items_resultList_37_j_idt606",onLabel:"Alexandersson, Per ",offLabel:"Alexandersson, Per ",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); Stockholm University, Faculty of Science, Department of Mathematics.PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:37:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:37:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Combinatorial Methods in Complex Analysis2013Doctoral thesis, comprehensive summary (Other academic)Abstract [en] PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_37_j_idt644_0_j_idt645",{id:"formSmash:items:resultList:37:j_idt644:0:j_idt645",widgetVar:"widget_formSmash_items_resultList_37_j_idt644_0_j_idt645",onLabel:"Abstract [en]",offLabel:"Abstract [en]",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); The theme of this thesis is combinatorics, complex analysis and algebraic geometry. The thesis consists of six articles divided into four parts.

**Part A:***Spectral properties of the Schrödinger equation*This part consists of Papers I-II, where we study a univariate Schrödinger equation with a complex polynomial potential. We prove that the set of polynomial potentials that admit solutions to the Schrödingerequation is connected, under certain boundary conditions. We also study a similar result for even polynomial potentials, where a similar result is obtained.

**Part B:***Graph monomials and sums of squares*In this part, consisting of Paper III, we study natural bases for the space of homogeneous, symmetric and translation-invariant polynomials in terms of multigraphs. We find all multigraphs with at most six edges that give rise to non-negative polynomials, and which of these that can be expressed as a sum of squares. Such polynomials appear naturally in connection to expressing certain non-negative polynomials as sums of squares.

**Part C:***Eigenvalue asymptotics of banded Toeplitz matrices*This part consists of Papers IV-V. We give a new and generalized proof of a theorem by P. Schmidt and F. Spitzer concerning asymptotics of eigenvalues of Toeplitz matrices. We also generalize the notion of eigenvalues to rectangular matrices, and partially prove the a multivariate analogue of the above.

**Part D:***Stretched Schur polynomials*This part consists of Paper VI, where we give a combinatorial proof that certain sequences of skew Schur polynomials satisfy linear recurrences with polynomial coefficients.

PrimeFaces.cw("Panel","tryPanel",{id:"formSmash:items:resultList:37:j_idt644:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Download full text (pdf)Fulltext$(function(){PrimeFaces.cw("Tooltip","widget_formSmash_items_resultList_37_j_idt869_0_j_idt872",{id:"formSmash:items:resultList:37:j_idt869:0:j_idt872",widgetVar:"widget_formSmash_items_resultList_37_j_idt869_0_j_idt872",showEffect:"fade",hideEffect:"fade",target:"formSmash:items:resultList:37:j_idt869:0:fullText"});}); 39. Free Action and Cyclic Sieving on Skew Semi-standard Young Tableaux Alexandersson, Per PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_38_j_idt606",{id:"formSmash:items:resultList:38:j_idt606",widgetVar:"widget_formSmash_items_resultList_38_j_idt606",onLabel:"Alexandersson, Per ",offLabel:"Alexandersson, Per ",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); Stockholm University, Faculty of Science, Department of Mathematics.PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:38:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:38:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Free Action and Cyclic Sieving on Skew Semi-standard Young Tableaux2023In: Bulletin of the Iranian Mathematical Society, ISSN 1018-6301, E-ISSN 1017-060X, Vol. 49, no 1, article id 6Article in journal (Refereed)Abstract [en] PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_38_j_idt644_0_j_idt645",{id:"formSmash:items:resultList:38:j_idt644:0:j_idt645",widgetVar:"widget_formSmash_items_resultList_38_j_idt644_0_j_idt645",onLabel:"Abstract [en]",offLabel:"Abstract [en]",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); In this note, we provide a short proof of Theorem 4.3 in the paper titled Crystals, semistandard tableaux and cyclic sieving phenomenon, by Y.-T. Oh and E. Park, which concerns a cyclic sieving phenomenon on semi-standard Young tableaux. We also extend their result to skew shapes.

PrimeFaces.cw("Panel","tryPanel",{id:"formSmash:items:resultList:38:j_idt644:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); 40. LLT polynomials, elementary symmetric functions and melting lollipops Alexandersson, Per PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_39_j_idt606",{id:"formSmash:items:resultList:39:j_idt606",widgetVar:"widget_formSmash_items_resultList_39_j_idt606",onLabel:"Alexandersson, Per ",offLabel:"Alexandersson, Per ",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); Stockholm University, Faculty of Science, Department of Mathematics.PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:39:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:39:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); LLT polynomials, elementary symmetric functions and melting lollipops2021In: Journal of Algebraic Combinatorics, ISSN 0925-9899, E-ISSN 1572-9192, Vol. 53, no 2, p. 299-325Article in journal (Refereed)Abstract [en] PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_39_j_idt644_0_j_idt645",{id:"formSmash:items:resultList:39:j_idt644:0:j_idt645",widgetVar:"widget_formSmash_items_resultList_39_j_idt644_0_j_idt645",onLabel:"Abstract [en]",offLabel:"Abstract [en]",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); We conjecture an explicit positive combinatorial formula for the expansion of unicellular LLT polynomials in the elementary symmetric basis. This is an analogue of the Shareshian-Wachs conjecture previously studied by Panova and the author in 2018. We show that the conjecture for unicellular LLT polynomials implies a similar formula for vertical-strip LLT polynomials. We prove positivity in the elementary symmetric basis for the class of graphs called melting lollipops previously considered by Huh, Nam and Yoo. This is done by proving a curious relationship between a generalization of charge and orientations of unit-interval graphs. We also provide short bijective proofs of Lee's three-term recurrences for unicellular LLT polynomials, and we show that these recurrences are enough to generate all unicellular LLT polynomials associated with abelian area sequences.

PrimeFaces.cw("Panel","tryPanel",{id:"formSmash:items:resultList:39:j_idt644:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); 41. On Eigenvalues of the Schrodinger Operator with an Even Complex-Valued Polynomial Potential Alexandersson, Per PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_40_j_idt606",{id:"formSmash:items:resultList:40:j_idt606",widgetVar:"widget_formSmash_items_resultList_40_j_idt606",onLabel:"Alexandersson, Per ",offLabel:"Alexandersson, Per ",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); Stockholm University, Faculty of Science, Department of Mathematics.PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:40:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:40:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); On Eigenvalues of the Schrodinger Operator with an Even Complex-Valued Polynomial Potential2012In: Computational methods in Function Theory, ISSN 1617-9447, E-ISSN 2195-3724, Vol. 12, no 2, p. 465-481Article in journal (Refereed)Abstract [en] PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_40_j_idt644_0_j_idt645",{id:"formSmash:items:resultList:40:j_idt644:0:j_idt645",widgetVar:"widget_formSmash_items_resultList_40_j_idt644_0_j_idt645",onLabel:"Abstract [en]",offLabel:"Abstract [en]",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); In this paper, we generalize several results in the article Analytic continuation of eigenvalues of a quartic oscillator of A. Eremenko and A. Gabrielov [4]. We consider a family of eigenvalue problems for a Schrodinger equation with even polynomial potentials of arbitrary degree d with complex coefficients, and k < (d + 2)/2 boundary conditions. We show that the spectral determinant in this case consists of two components, containing even and odd eigenvalues respectively. In the case with k = (d + 2)/2 boundary conditions, we show that the corresponding parameter space consists of infinitely many connected components.

PrimeFaces.cw("Panel","tryPanel",{id:"formSmash:items:resultList:40:j_idt644:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); 42. On eigenvalues of the Schrödinger operator with a complex-valued polynomial potential Alexandersson, Per PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_41_j_idt606",{id:"formSmash:items:resultList:41:j_idt606",widgetVar:"widget_formSmash_items_resultList_41_j_idt606",onLabel:"Alexandersson, Per ",offLabel:"Alexandersson, Per ",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); Stockholm University, Faculty of Science, Department of Mathematics.PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:41:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:41:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); On eigenvalues of the Schrödinger operator with a complex-valued polynomial potential2010Licentiate thesis, comprehensive summary (Other academic)Abstract [en] PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_41_j_idt644_0_j_idt645",{id:"formSmash:items:resultList:41:j_idt644:0:j_idt645",widgetVar:"widget_formSmash_items_resultList_41_j_idt644_0_j_idt645",onLabel:"Abstract [en]",offLabel:"Abstract [en]",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); In this thesis, we generalize a recent result of A. Eremenko and A. Gabrielov on irreducibility of the spectral discriminant for the Schroedinger equation with quartic potentials.

In the first paper, we consider the eigenvalue problem with a complex-valued polynomial potential of arbitrary degree d and show that the spectral determinant of this problem is connected and irreducible. In other words, every eigenvalue can be reached from any other by analytic continuation. We also prove connectedness of the parameter spaces of the potentials that admit eigenfunctions satisfying k > 2 boundary conditions, except for the case d is even and k = d/2. In the latter case, connected components of the parameter space are distinguished by the number of zeros of the eigenfunctions.

In the second paper, we only consider even polynomial potentials, and show that the spectral determinant for the eigenvalue problem consists of two irreducible components. A similar result to that of paper I is proved for k boundary conditions.

PrimeFaces.cw("Panel","tryPanel",{id:"formSmash:items:resultList:41:j_idt644:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Download full text (pdf)FULLTEXT01$(function(){PrimeFaces.cw("Tooltip","widget_formSmash_items_resultList_41_j_idt869_0_j_idt872",{id:"formSmash:items:resultList:41:j_idt869:0:j_idt872",widgetVar:"widget_formSmash_items_resultList_41_j_idt869_0_j_idt872",showEffect:"fade",hideEffect:"fade",target:"formSmash:items:resultList:41:j_idt869:0:fullText"});}); 43. Schur polynomials, banded Toeplitz matrices and Widom's formula Alexandersson, Per PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_42_j_idt606",{id:"formSmash:items:resultList:42:j_idt606",widgetVar:"widget_formSmash_items_resultList_42_j_idt606",onLabel:"Alexandersson, Per ",offLabel:"Alexandersson, Per ",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); Stockholm University, Faculty of Science, Department of Mathematics.PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:42:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:42:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Schur polynomials, banded Toeplitz matrices and Widom's formula2012In: The Electronic Journal of Combinatorics, ISSN 1097-1440, E-ISSN 1077-8926, Vol. 19, no 4, p. P22-Article in journal (Refereed)Abstract [en] PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_42_j_idt644_0_j_idt645",{id:"formSmash:items:resultList:42:j_idt644:0:j_idt645",widgetVar:"widget_formSmash_items_resultList_42_j_idt644_0_j_idt645",onLabel:"Abstract [en]",offLabel:"Abstract [en]",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); We prove that for arbitrary partitions lambda subset of kappa, and integers 0 <= c < r <= n, the sequence of Schur polynomials S(kappa+k.1c)/(lambda+k.1r)(x(1), ... , x(n)) for k sufficiently large, satisfy a linear recurrence. The roots of the characteristic equation are given explicitly. These recurrences are also valid for certain sequences of minors of banded Toeplitz matrices. In addition, we show that Widom's determinant formula from 1958 is a special case of a well-known identity for Schur polynomials.

PrimeFaces.cw("Panel","tryPanel",{id:"formSmash:items:resultList:42:j_idt644:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Download full text (pdf)Fulltext$(function(){PrimeFaces.cw("Tooltip","widget_formSmash_items_resultList_42_j_idt869_0_j_idt872",{id:"formSmash:items:resultList:42:j_idt869:0:j_idt872",widgetVar:"widget_formSmash_items_resultList_42_j_idt869_0_j_idt872",showEffect:"fade",hideEffect:"fade",target:"formSmash:items:resultList:42:j_idt869:0:fullText"});}); 44. Stretched skew Schur polynomials are recurrent Alexandersson, Per PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_43_j_idt606",{id:"formSmash:items:resultList:43:j_idt606",widgetVar:"widget_formSmash_items_resultList_43_j_idt606",onLabel:"Alexandersson, Per ",offLabel:"Alexandersson, Per ",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); Stockholm University, Faculty of Science, Department of Mathematics.PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:43:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:43:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Stretched skew Schur polynomials are recurrent2014In: Journal of combinatorial theory. Series A (Print), ISSN 0097-3165, E-ISSN 1096-0899, Vol. 122, p. 1-8Article in journal (Refereed)Abstract [en] PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_43_j_idt644_0_j_idt645",{id:"formSmash:items:resultList:43:j_idt644:0:j_idt645",widgetVar:"widget_formSmash_items_resultList_43_j_idt644_0_j_idt645",onLabel:"Abstract [en]",offLabel:"Abstract [en]",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); We show that sequences of skew Schur polynomials obtained from stretched semi-standard Young tableauxsatisfy a linear recurrence, which we give explicitly.Using this, we apply this to finding certain asymptotic behavior of these Schur polynomials and present conjectures on minimal recurrences for stretched Schur polynomials.

PrimeFaces.cw("Panel","tryPanel",{id:"formSmash:items:resultList:43:j_idt644:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); 45. On Eigenvalues of the Schrödinger Operator with a Complex-Valued Polynomial Potential Alexandersson, Per PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_44_j_idt606",{id:"formSmash:items:resultList:44:j_idt606",widgetVar:"widget_formSmash_items_resultList_44_j_idt606",onLabel:"Alexandersson, Per ",offLabel:"Alexandersson, Per ",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); et al. PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_44_j_idt609",{id:"formSmash:items:resultList:44:j_idt609",widgetVar:"widget_formSmash_items_resultList_44_j_idt609",onLabel:"et al.",offLabel:"et al.",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); Stockholm University, Faculty of Science, Department of Mathematics.PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:44:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Gabrielov, AndreiPrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:44:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); On Eigenvalues of the Schrödinger Operator with a Complex-Valued Polynomial Potential2012In: Computational methods in Function Theory, ISSN 1617-9447, E-ISSN 2195-3724, Vol. 12, no 1, p. 119-144Article in journal (Refereed)Abstract [en] PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_44_j_idt644_0_j_idt645",{id:"formSmash:items:resultList:44:j_idt644:0:j_idt645",widgetVar:"widget_formSmash_items_resultList_44_j_idt644_0_j_idt645",onLabel:"Abstract [en]",offLabel:"Abstract [en]",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); We consider the eigenvalue problem with a complex-valued polynomial potential of arbitrary degree

*d*and show that the spectral determinant of this problem is connected and irreducible. In other words, every eigenvalue can be reached from any other by analytic continuation.We also prove connectedness of the parameter spaces of the potentials that admit eigenfunctions satisfying

*k*> 2 boundary conditions, except for the case*d*is even and*k*=*d*/2. In the latter case, connected components of the parameter space are distinguished by the number of zeros of the eigenfunctions.The first results can be derived from H. Habsch, while the case of a disconnected parameter space is new.

PrimeFaces.cw("Panel","tryPanel",{id:"formSmash:items:resultList:44:j_idt644:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); 46. Symmetric polynomials in the symplectic alphabet and the change of variables z(j) = x(j) + x(j)(-1) Alexandersson, Per PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_45_j_idt606",{id:"formSmash:items:resultList:45:j_idt606",widgetVar:"widget_formSmash_items_resultList_45_j_idt606",onLabel:"Alexandersson, Per ",offLabel:"Alexandersson, Per ",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); et al. PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_45_j_idt609",{id:"formSmash:items:resultList:45:j_idt609",widgetVar:"widget_formSmash_items_resultList_45_j_idt609",onLabel:"et al.",offLabel:"et al.",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); Stockholm University, Faculty of Science, Department of Mathematics.PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:45:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); González-Serrano, Luis AngelMaximenko, Egor A.Moctezuma-Salazar, Mario AlbertoPrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:45:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Symmetric polynomials in the symplectic alphabet and the change of variables z(j) = x(j) + x(j)(-1)2021In: The Electronic Journal of Combinatorics, ISSN 1097-1440, E-ISSN 1077-8926, Vol. 28, no 1, article id P1.56Article in journal (Refereed)Abstract [en] PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_45_j_idt644_0_j_idt645",{id:"formSmash:items:resultList:45:j_idt644:0:j_idt645",widgetVar:"widget_formSmash_items_resultList_45_j_idt644_0_j_idt645",onLabel:"Abstract [en]",offLabel:"Abstract [en]",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); Given a symmetric polynomial P in 2n variables, there exists a unique symmetric polynomial Q in n variables such that P(x(1), ..., x(n), x(1)(-1), ..., x(n)(-1)) = Q(x(1) + x(1)(-1), ..., x(n) + x(n)(-1)). We denote this polynomial Q by Phi(n)(P) and show that Phi(n) is an epimorphism of algebras. We compute Phi(n)(P) for several families of symmetric polynomials P: symplectic and orthogonal Schur polynomials, elementary symmetric polynomials, complete homogeneous polynomials, and power sums. Some of these formulas were already found by Elouafi (2014) and Lachaud (2016). The polynomials of the form Phi(n)(s(lambda/mu)((2n))), where s(lambda/mu)((2n)) is a skew Schur polynomial in 2n variables, arise naturally in the study of the minors of symmetric banded Toeplitz matrices, when the generating symbol is a palindromic Laurent polynomial, and its roots can be written as x(1), ..., x(n), x(1)(-1), ..., x(n)(-1). Trench (1987) and Elouafi (2014) found efficient formulas for the determinants of symmetric banded Toeplitz matrices. We show that these formulas are equivalent to the result of Ciucu and Krattenthaler (2009) about the factorization of the characters of classical groups.

PrimeFaces.cw("Panel","tryPanel",{id:"formSmash:items:resultList:45:j_idt644:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); 47. Promotion and cyclic sieving on families of SSYT Alexandersson, Per PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_46_j_idt606",{id:"formSmash:items:resultList:46:j_idt606",widgetVar:"widget_formSmash_items_resultList_46_j_idt606",onLabel:"Alexandersson, Per ",offLabel:"Alexandersson, Per ",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); et al. PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_46_j_idt609",{id:"formSmash:items:resultList:46:j_idt609",widgetVar:"widget_formSmash_items_resultList_46_j_idt609",onLabel:"et al.",offLabel:"et al.",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); Stockholm University, Faculty of Science, Department of Mathematics.PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:46:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Kantarci Oğuz, EzgiLinusson, SvantePrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:46:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Promotion and cyclic sieving on families of SSYT2021In: Arkiv för matematik, ISSN 0004-2080, E-ISSN 1871-2487, Vol. 59, no 2, p. 247-274Article in journal (Refereed)Abstract [en] PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_46_j_idt644_0_j_idt645",{id:"formSmash:items:resultList:46:j_idt644:0:j_idt645",widgetVar:"widget_formSmash_items_resultList_46_j_idt644_0_j_idt645",onLabel:"Abstract [en]",offLabel:"Abstract [en]",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); We examine a few families of semistandard Young tableaux, for which we observe the cyclic sieving phenomenon under promotion. The first family we consider consists of stretched hook shapes, where we use the cocharge generating polynomial as CSP-polynomial. The second family contains skew shapes, consisting of disjoint rectangles. Again, the charge generating polynomial together with promotion exhibits the cyclic sieving phenomenon. This generalizes earlier results by B. Rhoades and later B. Fontaine and J. Kamnitzer. Finally, we consider certain skew ribbons, where promotion behaves in a predictable manner. This result is stated in the form of a bicyclic sieving phenomenon. One of the tools we use is a novel method for computing charge of skew semistandard tableaux, in the case when every number in the tableau occurs with the same frequency.

PrimeFaces.cw("Panel","tryPanel",{id:"formSmash:items:resultList:46:j_idt644:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); 48. The cyclic sieving phenomenon on circular Dyck paths Alexandersson, Per PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_47_j_idt606",{id:"formSmash:items:resultList:47:j_idt606",widgetVar:"widget_formSmash_items_resultList_47_j_idt606",onLabel:"Alexandersson, Per ",offLabel:"Alexandersson, Per ",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); et al. PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_47_j_idt609",{id:"formSmash:items:resultList:47:j_idt609",widgetVar:"widget_formSmash_items_resultList_47_j_idt609",onLabel:"et al.",offLabel:"et al.",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); Stockholm University, Faculty of Science, Department of Mathematics.PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:47:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Linusson, SvantePotka, SamuPrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:47:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); The cyclic sieving phenomenon on circular Dyck paths2019In: The Electronic Journal of Combinatorics, ISSN 1097-1440, E-ISSN 1077-8926, Vol. 26, no 4, article id P4.16Article in journal (Refereed)Abstract [en] PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_47_j_idt644_0_j_idt645",{id:"formSmash:items:resultList:47:j_idt644:0:j_idt645",widgetVar:"widget_formSmash_items_resultList_47_j_idt644_0_j_idt645",onLabel:"Abstract [en]",offLabel:"Abstract [en]",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); We give a

*q*-enumeration of circular Dyck paths, which is a superset of the classical Dyck paths enumerated by the Catalan numbers. These objects have recently been studied by Alexandersson and Panova. Furthermore, we show that this*q*-analogue exhibits the cyclic sieving phenomenon under a natural action of the cyclic group. The enumeration and cyclic sieving is generalized to Mobius paths. We also discuss properties of a generalization of cyclic sieving, which we call*subset cyclic sieving*, and introduce the notion of*Lyndon-like cyclic sieving*that concerns special recursive properties of combinatorial objects exhibiting the cyclic sieving phenomenon.PrimeFaces.cw("Panel","tryPanel",{id:"formSmash:items:resultList:47:j_idt644:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); 49. Skew characters and cyclic sieving Alexandersson, Per PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_48_j_idt606",{id:"formSmash:items:resultList:48:j_idt606",widgetVar:"widget_formSmash_items_resultList_48_j_idt606",onLabel:"Alexandersson, Per ",offLabel:"Alexandersson, Per ",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); et al. PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_48_j_idt609",{id:"formSmash:items:resultList:48:j_idt609",widgetVar:"widget_formSmash_items_resultList_48_j_idt609",onLabel:"et al.",offLabel:"et al.",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); Stockholm University, Faculty of Science, Department of Mathematics.PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:48:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Pfannerer, StephanRubey, MartinUhlin, JoakimStockholm University, Faculty of Science, Department of Mathematics.PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:48:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Skew characters and cyclic sieving2021In: Forum of Mathematics, Sigma, ISSN 2050-5094, Vol. 9, p. 1-31, article id e41Article in journal (Refereed)Abstract [en] PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_48_j_idt644_0_j_idt645",{id:"formSmash:items:resultList:48:j_idt644:0:j_idt645",widgetVar:"widget_formSmash_items_resultList_48_j_idt644_0_j_idt645",onLabel:"Abstract [en]",offLabel:"Abstract [en]",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); In 2010, Rhoades proved that promotion on rectangular standard Young tableaux, together with the associated fake-degree polynomial, provides an instance of the cyclic sieving phenomenon. We extend this result to m-tuples of skew standard Young tableaux of the same shape, for fixed m, subject to the condition that the mth power of the associated fake-degree polynomial evaluates to nonnegative integers at roots of unity. However, we are unable to specify an explicit group action. Put differently, we determine in which cases the mth tensor power of a skew character of the symmetric group carries a permutation representation of the cyclic group.

To do so, we use a method proposed by Amini and the first author, which amounts to establishing a bound on the number of border-strip tableaux of skew shape. Finally, we apply our results to the invariant theory of tensor powers of the adjoint representation of the general linear group. In particular, we prove the existence of a bijection between permutations and Stembridge’s alternating tableaux, which intertwines rotation and promotion.

PrimeFaces.cw("Panel","tryPanel",{id:"formSmash:items:resultList:48:j_idt644:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); 50. Around multivariate Schmidt-Spitzer theorem Alexandersson, Per PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_49_j_idt606",{id:"formSmash:items:resultList:49:j_idt606",widgetVar:"widget_formSmash_items_resultList_49_j_idt606",onLabel:"Alexandersson, Per ",offLabel:"Alexandersson, Per ",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); et al. PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_49_j_idt609",{id:"formSmash:items:resultList:49:j_idt609",widgetVar:"widget_formSmash_items_resultList_49_j_idt609",onLabel:"et al.",offLabel:"et al.",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); Stockholm University, Faculty of Science, Department of Mathematics.PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:49:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Shapiro, BorisStockholm University, Faculty of Science, Department of Mathematics.PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:49:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Around multivariate Schmidt-Spitzer theorem2014In: Linear Algebra and its Applications, ISSN 0024-3795, E-ISSN 1873-1856, Vol. 446, p. 356-368Article in journal (Refereed)Abstract [en] PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_49_j_idt644_0_j_idt645",{id:"formSmash:items:resultList:49:j_idt644:0:j_idt645",widgetVar:"widget_formSmash_items_resultList_49_j_idt644_0_j_idt645",onLabel:"Abstract [en]",offLabel:"Abstract [en]",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); Given an arbitrary complex-valued infinite matrix $\infmatA=(a_{ij}),$$i=1,\dotsc,\infty;$ $j=1,\dotsc,\infty$ and a positive integer $n$ we introduce anaturally associated polynomial basis $\polybasis_\infmatA$ of$\C[x_0,\dotsc,x_n]$.We discuss some properties of the locus of common zeros of all polynomials in $\polybasis_A$ having a given degree $m$; the latter locus can beinterpreted as the spectrum of the $m\times (m+n)$-submatrix of $\infmatA$ formed by its $m$ first rows and$(m+n)$ first columns. We initiate the study of the asymptotics of these spectra when $m\to \infty$ inthe case when $\infmatA$ is a banded Toeplitz matrix.In particular, we present and partially prove a conjectural multivariate analogof the well-known Schmidt-Spitzer theorem which describes the spectral asymptotics for the sequence of principal minors of an arbitrarybanded Toeplitz matrix.Finally, we discuss relations between polynomial bases $\polybasis_\infmatA$ andmultivariate orthogonal polynomials.

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