On Resolvent Identities in Gaussian Ensembles at the Edge of the Spectrum

被引：1
|
作者：
Soshnikov, Alexander [1 ]
机构：
[1] Univ Calif Davis, Dept Math, Davis, CA 95616 USA
来源：
NEW TRENDS IN MATHEMATICAL PHYSICS | 2009年
关键词：
LEVEL-SPACING DISTRIBUTIONS; RANDOM-MATRIX; UNIVERSALITY; EIGENVALUES;
D O I：
10.1007/978-90-481-2810-5_40
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We obtain the recursive identities for the joint moments of the traces of the powers of the resolvent for Gaussian ensembles of random matrices at the soft and hard edges of the spectrum. We also discuss the possible ways to extend these results to the non-Gaussian case.
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页码：615 / 627
页数：13
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