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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_idt1277",{id:"formSmash:items:resultList:0:j_idt1277",widgetVar:"widget_formSmash_items_resultList_0_j_idt1277",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_idt1312_0_j_idt1313",{id:"formSmash:items:resultList:0:j_idt1312:0:j_idt1313",widgetVar:"widget_formSmash_items_resultList_0_j_idt1312_0_j_idt1313",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_idt1312:0: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_idt1277",{id:"formSmash:items:resultList:1:j_idt1277",widgetVar:"widget_formSmash_items_resultList_1_j_idt1277",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. COCV, ISSN 1292-8119, E-ISSN 1262-3377Article in journal (Refereed)Abstract [en] PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_1_j_idt1312_0_j_idt1313",{id:"formSmash:items:resultList:1:j_idt1312:0:j_idt1313",widgetVar:"widget_formSmash_items_resultList_1_j_idt1312_0_j_idt1313",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_idt1312:0: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_idt1537_0_j_idt1540",{id:"formSmash:items:resultList:1:j_idt1537:0:j_idt1540",widgetVar:"widget_formSmash_items_resultList_1_j_idt1537_0_j_idt1540",showEffect:"fade",hideEffect:"fade",target:"formSmash:items:resultList:1:j_idt1537:0:fullText"});}); 3. Asymptotic distribution of zeros of a certain class of hypergeometric polynomials Abathun, Addisalem PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_2_j_idt1274",{id:"formSmash:items:resultList:2:j_idt1274",widgetVar:"widget_formSmash_items_resultList_2_j_idt1274",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_idt1312_0_j_idt1313",{id:"formSmash:items:resultList:2:j_idt1312:0:j_idt1313",widgetVar:"widget_formSmash_items_resultList_2_j_idt1312_0_j_idt1313",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_idt1312:0: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_idt1274",{id:"formSmash:items:resultList:3:j_idt1274",widgetVar:"widget_formSmash_items_resultList_3_j_idt1274",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_idt1277",{id:"formSmash:items:resultList:3:j_idt1277",widgetVar:"widget_formSmash_items_resultList_3_j_idt1277",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_idt1312_0_j_idt1313",{id:"formSmash:items:resultList:3:j_idt1312:0:j_idt1313",widgetVar:"widget_formSmash_items_resultList_3_j_idt1312_0_j_idt1313",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_idt1312:0: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_idt1274",{id:"formSmash:items:resultList:4:j_idt1274",widgetVar:"widget_formSmash_items_resultList_4_j_idt1274",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_idt1277",{id:"formSmash:items:resultList:4:j_idt1277",widgetVar:"widget_formSmash_items_resultList_4_j_idt1277",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_idt1312_0_j_idt1313",{id:"formSmash:items:resultList:4:j_idt1312:0:j_idt1313",widgetVar:"widget_formSmash_items_resultList_4_j_idt1312_0_j_idt1313",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_idt1312:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); 6. Nyanlända elevers svårigheter i algebra Abdulla, Tavga PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_5_j_idt1274",{id:"formSmash:items:resultList:5:j_idt1274",widgetVar:"widget_formSmash_items_resultList_5_j_idt1274",onLabel:"Abdulla, Tavga ",offLabel:"Abdulla, Tavga ",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); Stockholm University, Faculty of Science, Department of Mathematics and Science Education.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}); Nyanlända elevers svårigheter i algebra: En studie om nyanlända elevers uppfattningar om undervisning i algebra samt textuppgifter inom algebra i introduktionsprogram2018Independent thesis Basic level (degree of Bachelor), 10 credits / 15 HE creditsStudent thesisAbstract [sv] PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_5_j_idt1312_0_j_idt1313",{id:"formSmash:items:resultList:5:j_idt1312:0:j_idt1313",widgetVar:"widget_formSmash_items_resultList_5_j_idt1312_0_j_idt1313",onLabel:"Abstract [sv]",offLabel:"Abstract [sv]",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); Syftet med denna studie är att undersöka vilka matematiska och språkliga svårigheter nyanlända gymnasieelever har när de arbetar med algebra, både deras uppfattningar om undervisning i algebra och hur de löser textuppgifter inom algebra. Samtliga elever i studien är nyanlända och går ett introduktionsprogram och de har ett annat modersmål än svenska.

Flera studier visar på att elever som har ett annat modersmålspråk än svenska har svårare att klara matematik i skolan och därmed presterar sämre i matematikundervisningen än andra elever som har svenska som modersmål (Malmer, 2002). I denna studie undersöks vad detta beror på och hur undervisningen kan anpassas för att bättre gynna den berörda elevgruppen.

För att besvara frågeställningarna gjordes elevintervjuer med åtta elever samt ett test i algebra med eleverna som deltog i intervjuerna. Resultaten i denna studie visar på att eleverna hade språkliga svårigheter som påverkade deras problemlösningsförmåga i algebra. En orsak till detta är språkliga svårigheter och detta kan delvis bero på bristfälliga svenskkunskaper som leder till svårigheter att förstå textuppgifter och svårigheter att uttrycka sig när man kommunicerar inom matematik.

PrimeFaces.cw("Panel","tryPanel",{id:"formSmash:items:resultList:5:j_idt1312:0: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_5_j_idt1537_0_j_idt1540",{id:"formSmash:items:resultList:5:j_idt1537:0:j_idt1540",widgetVar:"widget_formSmash_items_resultList_5_j_idt1537_0_j_idt1540",showEffect:"fade",hideEffect:"fade",target:"formSmash:items:resultList:5:j_idt1537:0:fullText"});}); 7. Decomposition of D-modules over a hyperplane arrangement in the plane Abebaw, Tilahun PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_6_j_idt1274",{id:"formSmash:items:resultList:6:j_idt1274",widgetVar:"widget_formSmash_items_resultList_6_j_idt1274",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_idt1277",{id:"formSmash:items:resultList:6:j_idt1277",widgetVar:"widget_formSmash_items_resultList_6_j_idt1277",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_idt1312_0_j_idt1313",{id:"formSmash:items:resultList:6:j_idt1312:0:j_idt1313",widgetVar:"widget_formSmash_items_resultList_6_j_idt1312_0_j_idt1313",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_idt1312:0: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_idt1274",{id:"formSmash:items:resultList:7:j_idt1274",widgetVar:"widget_formSmash_items_resultList_7_j_idt1274",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_idt1277",{id:"formSmash:items:resultList:7:j_idt1277",widgetVar:"widget_formSmash_items_resultList_7_j_idt1277",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_idt1312_0_j_idt1313",{id:"formSmash:items:resultList:7:j_idt1312:0:j_idt1313",widgetVar:"widget_formSmash_items_resultList_7_j_idt1312_0_j_idt1313",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_idt1312:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); 9. Contributions to three problems in systems of differential and convolution equations Abramczuk, Wojciech PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_8_j_idt1274",{id:"formSmash:items:resultList:8:j_idt1274",widgetVar:"widget_formSmash_items_resultList_8_j_idt1274",onLabel:"Abramczuk, Wojciech ",offLabel:"Abramczuk, Wojciech ",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); Stockholm University.PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:8:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:8:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Contributions to three problems in systems of differential and convolution equations1984Doctoral thesis, comprehensive summary (Other academic)10. Otherness in mathematics education Abtahi, Yasmineet al. PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_9_j_idt1277",{id:"formSmash:items:resultList:9:j_idt1277",widgetVar:"widget_formSmash_items_resultList_9_j_idt1277",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}); Adler, J.Guillemette, D.Herheim, R.Lerman, S.Maheux, J-F.Valero, PaolaStockholm University, Faculty of Science, Department of Mathematics and Science Education.PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:9:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Otherness in mathematics education2018In: Proceedings of the 42nd Conference of the International Group for the Psychology of Mathematics Education / [ed] E. Bergqvist, M. Österholm, C. Granberg, L. Sumpter, Umeå, Sweden: PME , 2018, Vol. 1, p. 95-124Conference paper (Refereed)11. A complete classification of the expressiveness of interval logics of Allen’s relations Aceto, Lucaet al. PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_10_j_idt1277",{id:"formSmash:items:resultList:10:j_idt1277",widgetVar:"widget_formSmash_items_resultList_10_j_idt1277",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}); Della Monica, DarioGoranko, ValentinStockholm University, Faculty of Humanities, Department of Philosophy. University of Johannesburg, South Africa.Ingólfsdóttir, AnnaMontanari, AngeloSciavicco, GuidoPrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:10:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); A complete classification of the expressiveness of interval logics of Allen’s relations: the general and the dense cases2016In: Acta Informatica, ISSN 0001-5903, E-ISSN 1432-0525, Vol. 53, no 3, p. 207-246Article in journal (Refereed)Abstract [en] PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_10_j_idt1312_0_j_idt1313",{id:"formSmash:items:resultList:10:j_idt1312:0:j_idt1313",widgetVar:"widget_formSmash_items_resultList_10_j_idt1312_0_j_idt1313",onLabel:"Abstract [en]",offLabel:"Abstract [en]",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); Interval temporal logics take time intervals, instead of time points, as their primitive temporal entities. One of the most studied interval temporal logics is Halpern and Shoham’s modal logic of time intervals HS, which associates a modal operator with each binary relation between intervals over a linear order (the so-called Allen’s interval relations). In this paper, we compare and classify the expressiveness of all fragments of HS on the class of all linear orders and on the subclass of all dense linear orders. For each of these classes, we identify a complete set of definabilities between HS modalities, valid in that class, thus obtaining a complete classification of the family of all 4096 fragments of HS with respect to their expressiveness. We show that on the class of all linear orders there are exactly 1347 expressively different fragments of HS, while on the class of dense linear orders there are exactly 966 such expressively different fragments.

PrimeFaces.cw("Panel","tryPanel",{id:"formSmash:items:resultList:10:j_idt1312:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); 12. A concentration phenomenon for semilinear elliptic equations Ackermann, Nilset al. PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_11_j_idt1277",{id:"formSmash:items:resultList:11:j_idt1277",widgetVar:"widget_formSmash_items_resultList_11_j_idt1277",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:11: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:11: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_11_j_idt1312_0_j_idt1313",{id:"formSmash:items:resultList:11:j_idt1312:0:j_idt1313",widgetVar:"widget_formSmash_items_resultList_11_j_idt1312_0_j_idt1313",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:11:j_idt1312:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); 13. CUTTING DOWN TREES WITH A MARKOV CHAINSAW Addario-Berry, Louigiet al. PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_12_j_idt1277",{id:"formSmash:items:resultList:12:j_idt1277",widgetVar:"widget_formSmash_items_resultList_12_j_idt1277",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:12: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:12: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_12_j_idt1312_0_j_idt1313",{id:"formSmash:items:resultList:12:j_idt1312:0:j_idt1313",widgetVar:"widget_formSmash_items_resultList_12_j_idt1312_0_j_idt1313",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:12:j_idt1312:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); 14. Empirical properties of closed- and open-economy DSGE models of the Euro area Adolfson, Malinet al. PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_13_j_idt1277",{id:"formSmash:items:resultList:13:j_idt1277",widgetVar:"widget_formSmash_items_resultList_13_j_idt1277",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}); Laseen, StefanLinde, JesperVillani, MattiasStockholm University, Faculty of Social Sciences, Department of Statistics.PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:13:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Empirical properties of closed- and open-economy DSGE models of the Euro area2008In: Macroeconomic dynamics (Print), ISSN 1365-1005, E-ISSN 1469-8056, Vol. 12, p. 2-19Article in journal (Refereed)Abstract [en] PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_13_j_idt1312_0_j_idt1313",{id:"formSmash:items:resultList:13:j_idt1312:0:j_idt1313",widgetVar:"widget_formSmash_items_resultList_13_j_idt1312_0_j_idt1313",onLabel:"Abstract [en]",offLabel:"Abstract [en]",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); In this paper, we compare the empirical proper-ties of closed- and open-economy DSGE models estimated on Euro area data. The comparison is made along several dimensions; we examine the models in terms of their marginal likelihoods, forecasting performance, variance decompositions, and their transmission mechanisms of monetary policy.

PrimeFaces.cw("Panel","tryPanel",{id:"formSmash:items:resultList:13:j_idt1312:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); 15. Forecasting performance of an open economy DSGE model Adolfson, Malinet al. PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_14_j_idt1277",{id:"formSmash:items:resultList:14:j_idt1277",widgetVar:"widget_formSmash_items_resultList_14_j_idt1277",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}); Linde, JesperVillani, MattiasStockholm University, Faculty of Social Sciences, Department of Statistics.PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:14:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Forecasting performance of an open economy DSGE model2007In: Econometric Reviews, ISSN 0747-4938, E-ISSN 1532-4168, Vol. 26, no 04-feb, p. 289-328Article in journal (Refereed)Abstract [en] PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_14_j_idt1312_0_j_idt1313",{id:"formSmash:items:resultList:14:j_idt1312:0:j_idt1313",widgetVar:"widget_formSmash_items_resultList_14_j_idt1312_0_j_idt1313",onLabel:"Abstract [en]",offLabel:"Abstract [en]",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); This paper analyzes the forecasting performance of an open economy dynamic stochastic general equilibrium (DSGE) model, estimated with Bayesian methods, for the Euro area during 1994Q1-2002Q4. We compare the DSGE model and a few variants of this model to various reduced form forecasting models such as vector autoregressions (VARs) and vector error correction models (VECM), estimated both by maximum likelihood and, two different Bayesian approaches, and traditional benchmark models, e.g., the random. walk. The accuracy of point forecasts, interval forecasts and the predictive distribution as a whole are assessed in, an out-of-sample rolling event evaluation using several univariate and multivariate measures. The results show that the open economy DSGE model compares well with more empirical models and thus that the tension between, rigor and fit in older generations of DSGE models is no longer present. We also critically examine the role of Bayesian model probabilities and other frequently used low-dimensional summaries, e.g., the log determinant statistic, as measures of overall forecasting performance.

PrimeFaces.cw("Panel","tryPanel",{id:"formSmash:items:resultList:14:j_idt1312:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); 16. Hardy and spectral inequalities for a class of partial differential operators Aermark, Lior Alexandra PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_15_j_idt1274",{id:"formSmash:items:resultList:15:j_idt1274",widgetVar:"widget_formSmash_items_resultList_15_j_idt1274",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:15:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:15: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_15_j_idt1312_0_j_idt1313",{id:"formSmash:items:resultList:15:j_idt1312:0:j_idt1313",widgetVar:"widget_formSmash_items_resultList_15_j_idt1312_0_j_idt1313",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:15:j_idt1312:0: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_15_j_idt1537_0_j_idt1540",{id:"formSmash:items:resultList:15:j_idt1537:0:j_idt1540",widgetVar:"widget_formSmash_items_resultList_15_j_idt1537_0_j_idt1540",showEffect:"fade",hideEffect:"fade",target:"formSmash:items:resultList:15:j_idt1537:0:fullText"});}); 17. Hardy inequalities for a magnetic Grushin operator with Aharonov-Bohm type magnetic field Aermark, Lior PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_16_j_idt1274",{id:"formSmash:items:resultList:16:j_idt1274",widgetVar:"widget_formSmash_items_resultList_16_j_idt1274",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_16_j_idt1277",{id:"formSmash:items:resultList:16:j_idt1277",widgetVar:"widget_formSmash_items_resultList_16_j_idt1277",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:16: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:16: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_16_j_idt1312_0_j_idt1313",{id:"formSmash:items:resultList:16:j_idt1312:0:j_idt1313",widgetVar:"widget_formSmash_items_resultList_16_j_idt1312_0_j_idt1313",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:16:j_idt1312:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); 18. On the Modulus of Continuity of Mappings Between Euclidean Spaces Agbor, Dieudonnéet al. PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_17_j_idt1277",{id:"formSmash:items:resultList:17:j_idt1277",widgetVar:"widget_formSmash_items_resultList_17_j_idt1277",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:17: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:17: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_17_j_idt1312_0_j_idt1313",{id:"formSmash:items:resultList:17:j_idt1312:0:j_idt1313",widgetVar:"widget_formSmash_items_resultList_17_j_idt1312_0_j_idt1313",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:17:j_idt1312:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); 19. Persistence of embedded eigenvalues Agmon, Shmuelet al. PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_18_j_idt1277",{id:"formSmash:items:resultList:18:j_idt1277",widgetVar:"widget_formSmash_items_resultList_18_j_idt1277",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:18: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:18: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_18_j_idt1312_0_j_idt1313",{id:"formSmash:items:resultList:18:j_idt1312:0:j_idt1313",widgetVar:"widget_formSmash_items_resultList_18_j_idt1312_0_j_idt1313",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:18:j_idt1312:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); 20. 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_19_j_idt1274",{id:"formSmash:items:resultList:19:j_idt1274",widgetVar:"widget_formSmash_items_resultList_19_j_idt1274",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:19:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:19: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_19_j_idt1312_0_j_idt1313",{id:"formSmash:items:resultList:19:j_idt1312:0:j_idt1313",widgetVar:"widget_formSmash_items_resultList_19_j_idt1312_0_j_idt1313",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:19:j_idt1312:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); 21. Noise sensitivity and Voronoi percolation Ahlberg, Daniel PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_20_j_idt1274",{id:"formSmash:items:resultList:20:j_idt1274",widgetVar:"widget_formSmash_items_resultList_20_j_idt1274",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_idt1277",{id:"formSmash:items:resultList:20:j_idt1277",widgetVar:"widget_formSmash_items_resultList_20_j_idt1277",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}); Baldasso, RangelPrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:20: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_20_j_idt1312_0_j_idt1313",{id:"formSmash:items:resultList:20:j_idt1312:0:j_idt1313",widgetVar:"widget_formSmash_items_resultList_20_j_idt1312_0_j_idt1313",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:20:j_idt1312:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); 22. Competing first passage percolation on random graphs with finite variance degrees Ahlberg, Daniel PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_21_j_idt1274",{id:"formSmash:items:resultList:21:j_idt1274",widgetVar:"widget_formSmash_items_resultList_21_j_idt1274",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_idt1277",{id:"formSmash:items:resultList:21:j_idt1277",widgetVar:"widget_formSmash_items_resultList_21_j_idt1277",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}); Deijfen, MariaStockholm University, Faculty of Science, Department of Mathematics.Janson, SvantePrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:21: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_21_j_idt1312_0_j_idt1313",{id:"formSmash:items:resultList:21:j_idt1312:0:j_idt1313",widgetVar:"widget_formSmash_items_resultList_21_j_idt1312_0_j_idt1313",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:21:j_idt1312:0: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_idt1274",{id:"formSmash:items:resultList:22:j_idt1274",widgetVar:"widget_formSmash_items_resultList_22_j_idt1274",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_idt1277",{id:"formSmash:items:resultList:22:j_idt1277",widgetVar:"widget_formSmash_items_resultList_22_j_idt1277",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_idt1312_0_j_idt1313",{id:"formSmash:items:resultList:22:j_idt1312:0:j_idt1313",widgetVar:"widget_formSmash_items_resultList_22_j_idt1312_0_j_idt1313",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_idt1312:0: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_idt1274",{id:"formSmash:items:resultList:23:j_idt1274",widgetVar:"widget_formSmash_items_resultList_23_j_idt1274",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_idt1277",{id:"formSmash:items:resultList:23:j_idt1277",widgetVar:"widget_formSmash_items_resultList_23_j_idt1277",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, ISSN 1083-589X, E-ISSN 1083-589X, Vol. 23, article id 63Article in journal (Refereed)Abstract [en] PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_23_j_idt1312_0_j_idt1313",{id:"formSmash:items:resultList:23:j_idt1312:0:j_idt1313",widgetVar:"widget_formSmash_items_resultList_23_j_idt1312_0_j_idt1313",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_idt1312:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); 25. A numerical study of scaling relations for non-Newtonian thin film flows with applications in ice sheet modelling Ahlkrona, Josefinet al. PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_24_j_idt1277",{id:"formSmash:items:resultList:24:j_idt1277",widgetVar:"widget_formSmash_items_resultList_24_j_idt1277",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:24:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Kirchner, NinaStockholm University, Faculty of Science, Department of Physical Geography and Quaternary Geology.Lötstedt, PerPrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:24:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); A numerical study of scaling relations for non-Newtonian thin film flows with applications in ice sheet modelling2013In: Quarterly Journal of Mechanics and Applied Mathematics, ISSN 0033-5614, E-ISSN 1464-3855, Vol. 66, no 4, p. 417-435Article in journal (Refereed)Abstract [en] PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_24_j_idt1312_0_j_idt1313",{id:"formSmash:items:resultList:24:j_idt1312:0:j_idt1313",widgetVar:"widget_formSmash_items_resultList_24_j_idt1312_0_j_idt1313",onLabel:"Abstract [en]",offLabel:"Abstract [en]",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); This article treats the viscous, non-Newtonian thin-film flow of ice sheets, governed by the Stokes equations, and the modelling of ice sheets with asymptotic expansion of the analytical solutions in terms of the aspect ratio, which is a small parameter measuring the shallowness of an ice sheet. An asymptotic expansion requires scalings of the field variables with the aspect ratio. There are several, conflicting, scalings in the literature used both for deriving simplified models and for analysis. We use numerical solutions of the Stokes equations for varying aspect ratios in order to compute scaling relations. Our numerically obtained results are compared with three known theoretical scaling relations: the classical scalings behind the Shallow Ice Approximation, the scalings originally used to derive the so-called Blatter-Pattyn equations, and a non-uniform scaling which takes into account a high viscosity boundary layer close to the ice surface. We find that the latter of these theories is the most appropriate one since there is indeed a boundary layer close to the ice surface where scaling relations are different than further down in the ice. This boundary layer is thicker than anticipated and there is no distinct border with the inner layer for aspect ratios appropriate for ice sheets. This makes direct application of solutions obtained by matched asymptotic expansion problematic.

PrimeFaces.cw("Panel","tryPanel",{id:"formSmash:items:resultList:24:j_idt1312:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); 26. Dynamically coupling the non-linear Stokes equations with the shallow ice approximation in glaciology Ahlkrona, Josefinet al. PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_25_j_idt1277",{id:"formSmash:items:resultList:25:j_idt1277",widgetVar:"widget_formSmash_items_resultList_25_j_idt1277",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:25:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Lötstedt, PerKirchner, NinaStockholm University, Faculty of Science, Department of Physical Geography.Zwinger, ThomasPrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:25:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Dynamically coupling the non-linear Stokes equations with the shallow ice approximation in glaciology: Description and first applications of the ISCAL method2016In: Journal of Computational Physics, ISSN 0021-9991, E-ISSN 1090-2716, Vol. 308, p. 1-19Article in journal (Refereed)Abstract [en] PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_25_j_idt1312_0_j_idt1313",{id:"formSmash:items:resultList:25:j_idt1312:0:j_idt1313",widgetVar:"widget_formSmash_items_resultList_25_j_idt1312_0_j_idt1313",onLabel:"Abstract [en]",offLabel:"Abstract [en]",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); We propose and implement a new method, called the Ice Sheet Coupled Approximation Levels (ISCAL) method, for simulation of ice sheet flow in large domains during long time-intervals. The method couples the full Stokes (FS) equations with the Shallow Ice Approximation (SIA). The part of the domain where SIA is applied is determined automatically and dynamically based on estimates of the modeling error. For a three dimensional model problem, ISCAL computes the solution substantially faster with a low reduction in accuracy compared to a monolithic FS. Furthermore, ISCAL is shown to be able to detect rapid dynamic changes in the flow. Three different error estimations are applied and compared. Finally, ISCAL is applied to the Greenland Ice Sheet on a quasi-uniform grid, proving ISCAL to be a potential valuable tool for the ice sheet modeling community.

PrimeFaces.cw("Panel","tryPanel",{id:"formSmash:items:resultList:25:j_idt1312:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); 27. Estimation of Several Intraclass Correlation Coefficients Ahmed, S. Ejazet al. PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_26_j_idt1277",{id:"formSmash:items:resultList:26:j_idt1277",widgetVar:"widget_formSmash_items_resultList_26_j_idt1277",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}); Fallahpour, Sabervon Rosen, Dietrichvon Rosen, TatjanaStockholm University, Faculty of Social Sciences, Department of Statistics.PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:26:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Estimation of Several Intraclass Correlation Coefficients2015In: Communications in statistics. Simulation and computation, ISSN 0361-0918, E-ISSN 1532-4141, Vol. 44, no 9, p. 2315-2328Article in journal (Refereed)Abstract [en] PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_26_j_idt1312_0_j_idt1313",{id:"formSmash:items:resultList:26:j_idt1312:0:j_idt1313",widgetVar:"widget_formSmash_items_resultList_26_j_idt1312_0_j_idt1313",onLabel:"Abstract [en]",offLabel:"Abstract [en]",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); An intraclass correlation coefficient observed in several populations is estimated. The basis is a variance-stabilizing transformation. It is shown that the intraclass correlation coefficient from any elliptical distribution should be transformed in the same way. Four estimators are compared. An estimator where the components in a vector consisting of the transformed intraclass correlation coefficients are estimated separately, an estimator based on a weighted average of these components, a pretest estimator where the equality of the components is tested and then the outcome of the test is used in the estimation procedure, and a James-Stein estimator which shrinks toward the mean.

PrimeFaces.cw("Panel","tryPanel",{id:"formSmash:items:resultList:26:j_idt1312:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); 28. Displayed Categories Ahrens, Benediktet al. PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_27_j_idt1277",{id:"formSmash:items:resultList:27:j_idt1277",widgetVar:"widget_formSmash_items_resultList_27_j_idt1277",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}); Lumsdaine, Peter LefanuStockholm University, Faculty of Science, Department of Mathematics.PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:27: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_27_j_idt1312_0_j_idt1313",{id:"formSmash:items:resultList:27:j_idt1312:0:j_idt1313",widgetVar:"widget_formSmash_items_resultList_27_j_idt1312_0_j_idt1313",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:27:j_idt1312:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); 29. Hur kan elevers kunskapsutveckling i matematik förbättras Ahrnbom, Moa PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_28_j_idt1274",{id:"formSmash:items:resultList:28:j_idt1274",widgetVar:"widget_formSmash_items_resultList_28_j_idt1274",onLabel:"Ahrnbom, Moa ",offLabel:"Ahrnbom, Moa ",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); et al. PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_28_j_idt1277",{id:"formSmash:items:resultList:28:j_idt1277",widgetVar:"widget_formSmash_items_resultList_28_j_idt1277",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 and Science Education.PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:28:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Eklund, MariaStockholm University, Faculty of Science, Department of Mathematics and Science Education.PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:28:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Hur kan elevers kunskapsutveckling i matematik förbättras: Formativ bedömning i matematikundervisning2010Independent thesis Advanced level (professional degree), 10 credits / 15 HE creditsStudent thesisAbstract [sv] PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_28_j_idt1312_0_j_idt1313",{id:"formSmash:items:resultList:28:j_idt1312:0:j_idt1313",widgetVar:"widget_formSmash_items_resultList_28_j_idt1312_0_j_idt1313",onLabel:"Abstract [sv]",offLabel:"Abstract [sv]",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); Syftet med examensarbetet är att fördjupa vår kunskap om och förståelse för formativ bedömning i matematik. Vidare vill vi undersöka om den formativa bedömningen kan förbättra eleverna i klassens kunskapsutveckling i matematik. Vi har gjort en fallstudie i en klass som arbetar formativt för att undersöka hur det kan se ut i praktiken. Underlaget för det samlade materialet består av observation och intervju för att besvara våra två frågeställningar som följer. Hur kan en formativ bedömning se ut i praktiken? Hur kan en koppling mellan lärares och elevers uppfattningar om den pedagogiska verksamheten se ut? Vi har kommit fram till att den formativa bedömningen kan förbättra eleverna i klassens kunskapsutveckling i matematik. I den formativa bedömningen har vi sett vikten av mötet mellan lärare och elev. Att arbeta formativt är tidskrävande.

PrimeFaces.cw("Panel","tryPanel",{id:"formSmash:items:resultList:28:j_idt1312:0: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_28_j_idt1537_0_j_idt1540",{id:"formSmash:items:resultList:28:j_idt1537:0:j_idt1540",widgetVar:"widget_formSmash_items_resultList_28_j_idt1537_0_j_idt1540",showEffect:"fade",hideEffect:"fade",target:"formSmash:items:resultList:28:j_idt1537:0:fullText"});}); 30. MIRROR SYMMETRY AND THE CLASSIFICATION OF ORBIFOLD DEL PEZZO SURFACES Akhtar, Mohammadet al. PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_29_j_idt1277",{id:"formSmash:items:resultList:29:j_idt1277",widgetVar:"widget_formSmash_items_resultList_29_j_idt1277",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}); 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:29: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_29_j_idt1312_0_j_idt1313",{id:"formSmash:items:resultList:29:j_idt1312:0:j_idt1313",widgetVar:"widget_formSmash_items_resultList_29_j_idt1312_0_j_idt1313",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:29:j_idt1312:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); 31. Extension of Positive currents with Special Properties of Monge-Ampere Operators Al Abdulaali, Ahmad PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_30_j_idt1274",{id:"formSmash:items:resultList:30:j_idt1274",widgetVar:"widget_formSmash_items_resultList_30_j_idt1274",onLabel:"Al Abdulaali, Ahmad ",offLabel:"Al Abdulaali, Ahmad ",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); King Faisal University, Saudi Arabia.PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:30:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:30:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Extension of Positive currents with Special Properties of Monge-Ampere Operators2013In: Mathematica Scandinavica, ISSN 0025-5521, E-ISSN 1903-1807, Vol. 113, no 1, p. 108-127Article in journal (Refereed)Abstract [en] PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_30_j_idt1312_0_j_idt1313",{id:"formSmash:items:resultList:30:j_idt1312:0:j_idt1313",widgetVar:"widget_formSmash_items_resultList_30_j_idt1312_0_j_idt1313",onLabel:"Abstract [en]",offLabel:"Abstract [en]",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); This paper 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.

PrimeFaces.cw("Panel","tryPanel",{id:"formSmash:items:resultList:30:j_idt1312:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); 32. The extendability of S-plurisubharmonic currents Al Abdulaali, Ahmad PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_31_j_idt1274",{id:"formSmash:items:resultList:31:j_idt1274",widgetVar:"widget_formSmash_items_resultList_31_j_idt1274",onLabel:"Al Abdulaali, Ahmad ",offLabel:"Al Abdulaali, Ahmad ",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); The Department of Mathematics, King Faisal University.PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:31:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:31:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); The extendability of S-plurisubharmonic currents: = Sur le prolongement des courants*S*-plurisousharmoniques2012In: Comptes rendus. Mathematique, ISSN 1631-073X, E-ISSN 1778-3569, Vol. 350, no 23-24, p. 1023-1026Article in journal (Other academic)Abstract [en] PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_31_j_idt1312_0_j_idt1313",{id:"formSmash:items:resultList:31:j_idt1312:0:j_idt1313",widgetVar:"widget_formSmash_items_resultList_31_j_idt1312_0_j_idt1313",onLabel:"Abstract [en]",offLabel:"Abstract [en]",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); This paper 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 C2-plurisubharmoinc functions.

PrimeFaces.cw("Panel","tryPanel",{id:"formSmash:items:resultList:31:j_idt1312:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); 33. The inductive wedge product of positive currents Al Abdulaali, Ahmad PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_32_j_idt1274",{id:"formSmash:items:resultList:32:j_idt1274",widgetVar:"widget_formSmash_items_resultList_32_j_idt1274",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:32:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:32: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_32_j_idt1312_0_j_idt1313",{id:"formSmash:items:resultList:32:j_idt1312:0:j_idt1313",widgetVar:"widget_formSmash_items_resultList_32_j_idt1312_0_j_idt1313",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:32:j_idt1312:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); 34. On the Extension and Wedge Product of Positive Currents Al Abdulaali, Ahmad Khalid PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_33_j_idt1274",{id:"formSmash:items:resultList:33:j_idt1274",widgetVar:"widget_formSmash_items_resultList_33_j_idt1274",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: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}); On the Extension and Wedge Product of Positive Currents2012Doctoral thesis, comprehensive summary (Other academic)Abstract [en] PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_33_j_idt1312_0_j_idt1313",{id:"formSmash:items:resultList:33:j_idt1312:0:j_idt1313",widgetVar:"widget_formSmash_items_resultList_33_j_idt1312_0_j_idt1313",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:33:j_idt1312:0: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_33_j_idt1537_0_j_idt1540",{id:"formSmash:items:resultList:33:j_idt1537:0:j_idt1540",widgetVar:"widget_formSmash_items_resultList_33_j_idt1537_0_j_idt1540",showEffect:"fade",hideEffect:"fade",target:"formSmash:items:resultList:33:j_idt1537:0:fullText"});}); 35. Embedding Small Digraphs and Permutations in Binary Trees and Split Trees Albert, Michaelet al. PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_34_j_idt1277",{id:"formSmash:items:resultList:34:j_idt1277",widgetVar:"widget_formSmash_items_resultList_34_j_idt1277",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:34: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:34: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_34_j_idt1312_0_j_idt1313",{id:"formSmash:items:resultList:34:j_idt1312:0:j_idt1313",widgetVar:"widget_formSmash_items_resultList_34_j_idt1312_0_j_idt1313",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:34:j_idt1312:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); 36. Operator methods in ordinary and partial differential equations Albeverio, Sergioet al. PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_35_j_idt1277",{id:"formSmash:items:resultList:35:j_idt1277",widgetVar:"widget_formSmash_items_resultList_35_j_idt1277",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}); Elander, NilsStockholm University, Faculty of Science, Department of Physics.PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:35:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Operator methods in ordinary and partial differential equations: proceedings of the Sonja Kovalevsky symposium held in the University of Stockholm, June 16-22, 20002002Conference proceedings (editor) (Refereed)37. Singular perturbations of differential operators Albeverio, Sergioet al. PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_36_j_idt1277",{id:"formSmash:items:resultList:36:j_idt1277",widgetVar:"widget_formSmash_items_resultList_36_j_idt1277",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_idt1274",{id:"formSmash:items:resultList:37:j_idt1274",widgetVar:"widget_formSmash_items_resultList_37_j_idt1274",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_idt1312_0_j_idt1313",{id:"formSmash:items:resultList:37:j_idt1312:0:j_idt1313",widgetVar:"widget_formSmash_items_resultList_37_j_idt1312_0_j_idt1313",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_idt1312:0: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_idt1537_0_j_idt1540",{id:"formSmash:items:resultList:37:j_idt1537:0:j_idt1540",widgetVar:"widget_formSmash_items_resultList_37_j_idt1537_0_j_idt1540",showEffect:"fade",hideEffect:"fade",target:"formSmash:items:resultList:37:j_idt1537:0:fullText"});}); 39. LLT polynomials, elementary symmetric functions and melting lollipops Alexandersson, Per PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_38_j_idt1274",{id:"formSmash:items:resultList:38:j_idt1274",widgetVar:"widget_formSmash_items_resultList_38_j_idt1274",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}); LLT polynomials, elementary symmetric functions and melting lollipops2020In: Journal of Algebraic Combinatorics, ISSN 0925-9899, E-ISSN 1572-9192Article in journal (Refereed)Abstract [en] PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_38_j_idt1312_0_j_idt1313",{id:"formSmash:items:resultList:38:j_idt1312:0:j_idt1313",widgetVar:"widget_formSmash_items_resultList_38_j_idt1312_0_j_idt1313",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:38:j_idt1312:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); 40. On Eigenvalues of the Schrodinger Operator with an Even Complex-Valued Polynomial Potential Alexandersson, Per PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_39_j_idt1274",{id:"formSmash:items:resultList:39:j_idt1274",widgetVar:"widget_formSmash_items_resultList_39_j_idt1274",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}); 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_39_j_idt1312_0_j_idt1313",{id:"formSmash:items:resultList:39:j_idt1312:0:j_idt1313",widgetVar:"widget_formSmash_items_resultList_39_j_idt1312_0_j_idt1313",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:39:j_idt1312:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); 41. On eigenvalues of the Schrödinger operator with a complex-valued polynomial potential Alexandersson, Per PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_40_j_idt1274",{id:"formSmash:items:resultList:40:j_idt1274",widgetVar:"widget_formSmash_items_resultList_40_j_idt1274",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 Schrödinger operator with a complex-valued polynomial potential2010Licentiate thesis, comprehensive summary (Other academic)Abstract [en] PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_40_j_idt1312_0_j_idt1313",{id:"formSmash:items:resultList:40:j_idt1312:0:j_idt1313",widgetVar:"widget_formSmash_items_resultList_40_j_idt1312_0_j_idt1313",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:40:j_idt1312:0: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_40_j_idt1537_0_j_idt1540",{id:"formSmash:items:resultList:40:j_idt1537:0:j_idt1540",widgetVar:"widget_formSmash_items_resultList_40_j_idt1537_0_j_idt1540",showEffect:"fade",hideEffect:"fade",target:"formSmash:items:resultList:40:j_idt1537:0:fullText"});}); 42. Schur polynomials, banded Toeplitz matrices and Widom's formula Alexandersson, Per PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_41_j_idt1274",{id:"formSmash:items:resultList:41:j_idt1274",widgetVar:"widget_formSmash_items_resultList_41_j_idt1274",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}); 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_41_j_idt1312_0_j_idt1313",{id:"formSmash:items:resultList:41:j_idt1312:0:j_idt1313",widgetVar:"widget_formSmash_items_resultList_41_j_idt1312_0_j_idt1313",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:41:j_idt1312:0: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_41_j_idt1537_0_j_idt1540",{id:"formSmash:items:resultList:41:j_idt1537:0:j_idt1540",widgetVar:"widget_formSmash_items_resultList_41_j_idt1537_0_j_idt1540",showEffect:"fade",hideEffect:"fade",target:"formSmash:items:resultList:41:j_idt1537:0:fullText"});}); 43. Stretched skew Schur polynomials are recurrent Alexandersson, Per PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_42_j_idt1274",{id:"formSmash:items:resultList:42:j_idt1274",widgetVar:"widget_formSmash_items_resultList_42_j_idt1274",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}); 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_42_j_idt1312_0_j_idt1313",{id:"formSmash:items:resultList:42:j_idt1312:0:j_idt1313",widgetVar:"widget_formSmash_items_resultList_42_j_idt1312_0_j_idt1313",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:42:j_idt1312:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); 44. On Eigenvalues of the Schrödinger Operator with a Complex-Valued Polynomial Potential Alexandersson, Per PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_43_j_idt1274",{id:"formSmash:items:resultList:43:j_idt1274",widgetVar:"widget_formSmash_items_resultList_43_j_idt1274",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_43_j_idt1277",{id:"formSmash:items:resultList:43:j_idt1277",widgetVar:"widget_formSmash_items_resultList_43_j_idt1277",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:43:orgPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Gabrielov, AndreiPrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:43: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_43_j_idt1312_0_j_idt1313",{id:"formSmash:items:resultList:43:j_idt1312:0:j_idt1313",widgetVar:"widget_formSmash_items_resultList_43_j_idt1312_0_j_idt1313",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:43:j_idt1312:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); 45. The cyclic sieving phenomenon on circular Dyck paths Alexandersson, Per PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_44_j_idt1274",{id:"formSmash:items:resultList:44:j_idt1274",widgetVar:"widget_formSmash_items_resultList_44_j_idt1274",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_idt1277",{id:"formSmash:items:resultList:44:j_idt1277",widgetVar:"widget_formSmash_items_resultList_44_j_idt1277",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}); Linusson, SvantePotka, SamuPrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:44: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_44_j_idt1312_0_j_idt1313",{id:"formSmash:items:resultList:44:j_idt1312:0:j_idt1313",widgetVar:"widget_formSmash_items_resultList_44_j_idt1312_0_j_idt1313",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:44:j_idt1312:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); 46. Around multivariate Schmidt-Spitzer theorem Alexandersson, Per PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_45_j_idt1274",{id:"formSmash:items:resultList:45:j_idt1274",widgetVar:"widget_formSmash_items_resultList_45_j_idt1274",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_idt1277",{id:"formSmash:items:resultList:45:j_idt1277",widgetVar:"widget_formSmash_items_resultList_45_j_idt1277",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}); Shapiro, BorisStockholm University, Faculty of Science, Department of Mathematics.PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:45: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_45_j_idt1312_0_j_idt1313",{id:"formSmash:items:resultList:45:j_idt1312:0:j_idt1313",widgetVar:"widget_formSmash_items_resultList_45_j_idt1312_0_j_idt1313",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.

PrimeFaces.cw("Panel","tryPanel",{id:"formSmash:items:resultList:45:j_idt1312:0: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_45_j_idt1537_0_j_idt1540",{id:"formSmash:items:resultList:45:j_idt1537:0:j_idt1540",widgetVar:"widget_formSmash_items_resultList_45_j_idt1537_0_j_idt1540",showEffect:"fade",hideEffect:"fade",target:"formSmash:items:resultList:45:j_idt1537:0:fullText"});}); 47. Discriminants, Symmetrized Graph monomials and Sums of Squares Alexandersson, Per PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_46_j_idt1274",{id:"formSmash:items:resultList:46:j_idt1274",widgetVar:"widget_formSmash_items_resultList_46_j_idt1274",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_idt1277",{id:"formSmash:items:resultList:46:j_idt1277",widgetVar:"widget_formSmash_items_resultList_46_j_idt1277",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}); Shapiro, BorisStockholm University, Faculty of Science, Department of Mathematics.PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:46:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Discriminants, Symmetrized Graph monomials and Sums of Squares2012In: Experimental Mathematics, ISSN 1058-6458, E-ISSN 1944-950X, Vol. 21, no 4, p. 353-361Article in journal (Refereed)Abstract [en] PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_46_j_idt1312_0_j_idt1313",{id:"formSmash:items:resultList:46:j_idt1312:0:j_idt1313",widgetVar:"widget_formSmash_items_resultList_46_j_idt1312_0_j_idt1313",onLabel:"Abstract [en]",offLabel:"Abstract [en]",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); In 1878, motivated by the requirements of the invariant the-ory of binary forms, J. J. Sylvester constructed, for every graphwith possible multiple edges but without loops, its symmetrizedgraph monomial, which is a polynomial in the vertex labels ofthe original graph. We pose the question for which graphs thispolynomial is nonnegative or a sum of squares. This problem ismotivated by a recent conjecture of F. Sottile and E. Mukhin onthe discriminant of the derivative of a univariate polynomial andby an interesting example of P. and A. Lax of a graph with fouredges whose symmetrized graph monomial is nonnegative butnot a sum of squares. We present detailed information about sym-metrized graph monomials for graphs with four and six edges,obtained by computer calculations.

PrimeFaces.cw("Panel","tryPanel",{id:"formSmash:items:resultList:46:j_idt1312:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); 48. Modeling Realized Covariance of Asset Returns Alfelt, Gustav PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_47_j_idt1274",{id:"formSmash:items:resultList:47:j_idt1274",widgetVar:"widget_formSmash_items_resultList_47_j_idt1274",onLabel:"Alfelt, Gustav ",offLabel:"Alfelt, Gustav ",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}); PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:47:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Modeling Realized Covariance of Asset Returns2019Licentiate thesis, comprehensive summary (Other academic)Abstract [en] PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_47_j_idt1312_0_j_idt1313",{id:"formSmash:items:resultList:47:j_idt1312:0:j_idt1313",widgetVar:"widget_formSmash_items_resultList_47_j_idt1312_0_j_idt1313",onLabel:"Abstract [en]",offLabel:"Abstract [en]",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); In this thesis, which consists of two papers, we consider the modeling of positive definitive symmetric matrices, in particular covariance matrices of financial asset returns. The return covariance matrix describes the magnitude in which prices of financial assets tend to change over time, and how price changes between different assets are related. It is an instrumental quantity in many financial applications, and furthermore, an important component in understanding the dynamics present prior to and during times of financial turbulence, such as the 2008 financial crisis.

In the first paper, we provide several goodness-of-fit tests applicable to models driven by a centralized Wishart process. To apply such a distributional assumption has become a popular way of modeling the stochastic properties of time-series of realized covariance matrices for asset returns. The paper includes a simulation study that aims to investigate how the tests perform under model uncertainty stemming from parameter estimation. In addition, the presented methods are used to evaluate the fit of a typical model of realized covariance adapted to real data on six stocks traded on the New York Stock Exchange.

The second paper considers positive definite and symmetric random matrices of the exponential family. Under certain conditions for this class of distributions, we derive the Stein-Haff identity. Furthermore, we determine this identity in the case of the matrix-variate gamma distribution and apply it in order to present an estimator that outperforms the maximum likelihood estimator in terms of Stein's loss function. Finally, a small simulation study is conducted to support the theoretical results.

PrimeFaces.cw("Panel","tryPanel",{id:"formSmash:items:resultList:47:j_idt1312:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); 49. Stein-Haff Identity for the Exponential Family Alfelt, Gustav PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_48_j_idt1274",{id:"formSmash:items:resultList:48:j_idt1274",widgetVar:"widget_formSmash_items_resultList_48_j_idt1274",onLabel:"Alfelt, Gustav ",offLabel:"Alfelt, Gustav ",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}); PrimeFaces.cw("Panel","testPanel",{id:"formSmash:items:resultList:48:etAlPanel",widgetVar:"testPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); Stein-Haff Identity for the Exponential Family2018In: Theory of Probability and Mathematical Statistics, ISSN 0094-9000, Vol. 99, p. 7-18Article in journal (Refereed)Abstract [en] PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_48_j_idt1312_0_j_idt1313",{id:"formSmash:items:resultList:48:j_idt1312:0:j_idt1313",widgetVar:"widget_formSmash_items_resultList_48_j_idt1312_0_j_idt1313",onLabel:"Abstract [en]",offLabel:"Abstract [en]",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); In this paper, the Stein-Haff identity is established for positive-definite and symmetric random matrices belonging to the exponential family. The identity is then applied to the matrix-variate gamma distribution, and an estimator that dominates the maximum likelihood estimator in terms of Stein's loss is obtained. Finally, a simulation study is conducted in order to support the theoretical results.

PrimeFaces.cw("Panel","tryPanel",{id:"formSmash:items:resultList:48:j_idt1312:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500}); 50. Goodness-of-fit tests for centralized Wishart processes Alfelt, Gustav PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_49_j_idt1274",{id:"formSmash:items:resultList:49:j_idt1274",widgetVar:"widget_formSmash_items_resultList_49_j_idt1274",onLabel:"Alfelt, Gustav ",offLabel:"Alfelt, Gustav ",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); et al. PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_49_j_idt1277",{id:"formSmash:items:resultList:49:j_idt1277",widgetVar:"widget_formSmash_items_resultList_49_j_idt1277",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}); Bodnar, TarasStockholm University, Faculty of Science, Department of Mathematics.Tyrcha, JoannaStockholm 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}); Goodness-of-fit tests for centralized Wishart processes2019In: Communications in Statistics - Theory and Methods, ISSN 0361-0926, E-ISSN 1532-415XArticle in journal (Refereed)Abstract [en] PrimeFaces.cw("SelectBooleanButton","widget_formSmash_items_resultList_49_j_idt1312_0_j_idt1313",{id:"formSmash:items:resultList:49:j_idt1312:0:j_idt1313",widgetVar:"widget_formSmash_items_resultList_49_j_idt1312_0_j_idt1313",onLabel:"Abstract [en]",offLabel:"Abstract [en]",onIcon:"ui-icon-triangle-1-s",offIcon:"ui-icon-triangle-1-e"}); In this paper we present several goodness-of-fit tests for the centralized Wishart process, a popular matrix-variate time series model used to capture the stochastic properties of realized covariance matrices. The new test procedures are based on the extended Bartlett decomposition derived from the properties of the Wishart distribution and allows to obtain sets of independently and standard normally distributed random variables under the null hypothesis. Several tests for normality and independence are then applied to these variables in order to support or to reject the underlying assumption of a centralized Wishart process. In order to investigate the influence of estimated parameters on the suggested testing procedures in the finite-sample case, a simulation study is conducted. Finally, the new test methods are applied to real data consisting of realized covariance matrices computed for the returns on six assets traded on the New York Stock Exchange.

PrimeFaces.cw("Panel","tryPanel",{id:"formSmash:items:resultList:49:j_idt1312:0:abstractPanel",widgetVar:"tryPanel",toggleable:true,toggleSpeed:500,collapsed:false,toggleOrientation:"vertical",closable:true,closeSpeed:500});

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Citation styleapa ieee modern-language-association-8th-edition vancouver Other style $(function(){PrimeFaces.cw("SelectOneMenu","widget_formSmash_lower_j_idt1612",{id:"formSmash:lower:j_idt1612",widgetVar:"widget_formSmash_lower_j_idt1612",behaviors:{change:function(ext) {PrimeFaces.ab({s:"formSmash:lower:j_idt1612",e:"change",f:"formSmash",p:"formSmash:lower:j_idt1612",u:"formSmash:lower:otherStyle"},ext);}}});});

- apa
- ieee
- modern-language-association-8th-edition
- vancouver
- Other style

Languagede-DE en-GB en-US fi-FI nn-NO nn-NB sv-SE Other locale $(function(){PrimeFaces.cw("SelectOneMenu","widget_formSmash_lower_j_idt1623",{id:"formSmash:lower:j_idt1623",widgetVar:"widget_formSmash_lower_j_idt1623",behaviors:{change:function(ext) {PrimeFaces.ab({s:"formSmash:lower:j_idt1623",e:"change",f:"formSmash",p:"formSmash:lower:j_idt1623",u:"formSmash:lower:otherLanguage"},ext);}}});});

- de-DE
- en-GB
- en-US
- fi-FI
- nn-NO
- nn-NB
- sv-SE
- Other locale

Output formathtml text asciidoc rtf $(function(){PrimeFaces.cw("SelectOneMenu","widget_formSmash_lower_j_idt1633",{id:"formSmash:lower:j_idt1633",widgetVar:"widget_formSmash_lower_j_idt1633"});});

- html
- text
- asciidoc
- rtf