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Rank One Non-Hermitian Perturbations of Hermitian β-Ensembles of Random Matrices
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Analysis and Probability Theory.
2017 (English)In: Journal of statistical physics, ISSN 0022-4715, E-ISSN 1572-9613, Vol. 168, no 1, 92-108 p.Article in journal (Refereed) Published
Abstract [en]

We provide a tridiagonal matrix model and compute the joint eigenvalue density of a rank one non-Hermitian perturbation of a random matrix from the Gaussian or Laguerre beta-ensemble.

Place, publisher, year, edition, pages
2017. Vol. 168, no 1, 92-108 p.
Keyword [en]
Non-Hermitian random matrices, beta-Ensembles, Resonances, Jacobi matrices
National Category
Mathematics
Identifiers
URN: urn:nbn:se:uu:diva-330006DOI: 10.1007/s10955-017-1792-0ISI: 000403037300006OAI: oai:DiVA.org:uu-330006DiVA: diva2:1148230
Funder
Knut and Alice Wallenberg Foundation, KAW 2010.0063
Note

Rank One Non-Hermitian Perturbations of Hermitian beta-Ensembles of Random Matrices

Available from: 2017-10-10 Created: 2017-10-10 Last updated: 2017-10-10Bibliographically approved

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Kozhan, Rostyslav
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