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Distribution Functions for Random Variables for Ensembles of positive Hermitian Matrices

Estelle L. Basor
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Abstract

Distribution functions for random variables that depend on a parameter are computed asymptotically for ensembles of positive Hermitian matrices. The inverse Fourier transform of the distribution is shown to be a Fredholm determinant of a certain operator that is an analogue of a Wiener-Hopf operator. The asymptotic formula shows that up to the terms of order $o(1)$, the distributions are Gaussian.

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Estelle L. Basor. 2001-07-20. Distribution Functions for Random Variables for Ensembles of positive Hermitian Matrices. https://doi.org/10.1007/s002200050167

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