Random-matrix models with the logarithmic-singular level confinement: Method of fictitious fermions

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ar X iv : c on d - m at / 9 70 41 49 v 1 1 7 A pr 1 99 7 Random matrix models with log - singular level confinement : method of fictitious fermions ∗

Joint distribution function of N eigenvalues of U (N) invariant random-matrix ensemble can be interpreted as a probability density to find N fictitious non-interacting fermions to be confined in a one-dimensional space. Within this picture a general formalism is developed to study the eigenvalue correlations in non-Gaussian ensembles of large random matrices possessing non-monotonic, log-singul...

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ژورنال

عنوان ژورنال: Philosophical Magazine B

سال: 1998

ISSN: 1364-2812,1463-6417

DOI: 10.1080/13642819808205006