On the universality of the level spacing distribution for some ensembles of random matrices (Q1201370)

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scientific article; zbMATH DE number 97827
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On the universality of the level spacing distribution for some ensembles of random matrices
scientific article; zbMATH DE number 97827

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    On the universality of the level spacing distribution for some ensembles of random matrices (English)
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    17 January 1993
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    It is proved 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. Also, some related topics of random matrix theory are discussed.
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    repulsion of eigenvalues
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    circular ensembles
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    Gaussian ensemble
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    level spacing distribution
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    one-parameter family of random matrix ensembles
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    universal form
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