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On the universality of the level spacing distribution for some ensembles of random matrices
Authors:L. A. Pastur
Affiliation:(1) Mathematical Division of the Institute for Low Temperature Physics of the Ukrainian Academy of Sciences, 47 Lenin Avenue, 310164 Kharkov, Ukraine
Abstract:We prove that the level spacing distribution at the middle of the spectrum of some one-parameter family of random matrix ensembles has the universal form coinciding with that previously known for several special ensembles. We also discuss some related topics of the random matrix theory.
Keywords:15A52  15A90
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