On the universality of the level spacing distribution for some ensembles of random matrices |
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Authors: | L. A. Pastur |
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Affiliation: | (1) Mathematical Division of the Institute for Low Temperature Physics of the Ukrainian Academy of Sciences, 47 Lenin Avenue, 310164 Kharkov, Ukraine |
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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. |
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Keywords: | 15A52 15A90 |
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