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Level crossing in random matrices. II. Random perturbation of a random matrix
Stockholm University, Faculty of Science, Department of Mathematics.
Stockholm University, Faculty of Science, Department of Mathematics.ORCID iD: 0000-0002-8438-3971
Number of Authors: 32019 (English)In: Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, E-ISSN 1751-8121, Vol. 52, no 21, article id 214001Article in journal (Refereed) Published
Abstract [en]

In this paper we study the distribution of level crossings for the spectra of linear families A + lambda B, where A and B are square matrices independently chosen from some given Gaussian ensemble and lambda is a complex-valued parameter. We formulate a number of theoretical and numerical results for the classical Gaussian ensembles and some of their generalisations. Besides, we present intriguing numerical information about the monodromy distribution in case of linear families for the classical Gaussian ensembles of 3 x 3-matrices.

Place, publisher, year, edition, pages
2019. Vol. 52, no 21, article id 214001
Keywords [en]
random matrices, spectrum, level crossing
National Category
Mathematics Physical Sciences
Identifiers
URN: urn:nbn:se:su:diva-169240DOI: 10.1088/1751-8121/ab1733ISI: 000466158500001OAI: oai:DiVA.org:su-169240DiVA, id: diva2:1323962
Available from: 2019-06-13 Created: 2019-06-13 Last updated: 2019-06-13Bibliographically approved

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