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Level Crossing in Random Matrices: I. Random perturbation of a fixed matrix
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.
2016 (English)Article in journal (Refereed) Submitted
Abstract [en]

We consider level crossing in a matrix family H=H0+λVHH0λV where H0H0 is a fixed N×NNN matrix and VV belongs to one of the standard Gaussian random matrix ensembles. We study the probability distribution of level crossing points in the complex plane of λλ, for which we obtain a number of exact, asymptotic and approximate formulas.

Place, publisher, year, edition, pages
2016.
National Category
Subatomic Physics
Research subject
Theoretical Physics
Identifiers
URN: urn:nbn:se:uu:diva-287795OAI: oai:DiVA.org:uu-287795DiVA: diva2:923461
Available from: 2016-04-26 Created: 2016-04-26 Last updated: 2016-04-26

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Zarembo, Konstantin
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