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Level crossing in random matrices: I. Random perturbation of a fixed matrix
Stockholm University, Faculty of Science, Department of Mathematics.
Stockholm University, Nordic Institute for Theoretical Physics (Nordita). Uppsala University, Sweden.
Number of Authors: 2
2017 (English)In: Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, E-ISSN 1751-8121, Vol. 50, no 4, 045201Article in journal (Refereed) Published
Abstract [en]

We consider level crossing in a matrix family H = H-0 + lambda V where H-0 is a fixed N x N matrix and V belongs to one of the standard Gaussian random matrix ensembles. We study the probability distribution of level crossing points in the complex plane of lambda, for which we obtain a number of exact, asymptotic and approximate formulas.

Place, publisher, year, edition, pages
2017. Vol. 50, no 4, 045201
Keyword [en]
random matrices, level crossing, Gaussian ensembles of random matrices
National Category
Physical Sciences Mathematics
Identifiers
URN: urn:nbn:se:su:diva-140311DOI: 10.1088/1751-8121/aa5186ISI: 000392030200001OAI: oai:DiVA.org:su-140311DiVA: diva2:1079530
Available from: 2017-03-08 Created: 2017-03-08 Last updated: 2017-03-08Bibliographically approved

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Shapiro, BorisZarembo, Konstantin
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