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
收藏
页码：227 / 274
页数：48
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