On the averages of characteristic polynomials from classical groups

被引：48

作者：

Bump, Daniel ^{[1
]}

Gamburd, Alex

机构：

[1] Stanford Univ, Dept Math, Stanford, CA 94305 USA

[2] Univ Calif Santa Cruz, Dept Math, Santa Cruz, CA 95064 USA

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2006年 / 265卷 / 01期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1007/s00220-006-1503-1

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We provide an elementary and self-contained derivation of formulae for averages of products and ratios of characteristic polynomials of random matrices from classical groups using classical results due to Weyl and Littlewood.

引用

页码：227 / 274

页数：48

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