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Level Crossing in Random Matrices: I. Random perturbation of a fixed matrix
Stockholm Univ, Dept Math, SE-10691 Stockholm, Sweden.
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics. Stockholm Univ, NORDITA, Roslagstullsbacken 23, SE-10691 Stockholm, Sweden; KTH Royal Inst Technol, Roslagstullsbacken 23, SE-10691 Stockholm, Sweden.
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
National Category
Subatomic Physics
Research subject
Theoretical Physics
Identifiers
URN: urn:nbn:se:uu:diva-287795DOI: 10.1088/1751-8121/aa5186ISI: 000392030200001OAI: oai:DiVA.org:uu-287795DiVA: diva2:923461
Funder
EU, FP7, Seventh Framework Programme, 317089EU, European Research Council, 341222Swedish Research Council, 2013-4329
Available from: 2016-04-26 Created: 2016-04-26 Last updated: 2017-02-22Bibliographically approved

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Zarembo, Konstantin
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