Distribution Functions for Random Variables for Ensembles of Positive Hermitian Matrices

被引：1
|
作者：
Estelle L. Basor
机构：
[1] Department of Mathematics,
[2] California Polytechnic State University,undefined
[3] San Luis Obispo,undefined
[4] CA 93407,undefined
[5] USA. E-mail: ebasor@calpoly.edu,undefined
来源：
Communications in Mathematical Physics | 1997年 / 188卷
关键词：
Fourier; Fourier Transform; Distribution Function; Asymptotic Formula; Inverse Fourier Transform;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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.
引用
收藏
页码：327 / 350
页数：23
相关论文
共 50 条
12345