UNIVERSALITY LIMITS FOR ENTIRE FUNCTIONS

被引：3

作者：

Mitkovski, Mishko ^{[1
]}

机构：

[1] Georgia Inst Technol, Sch Math, Atlanta, GA 30332 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2013年 / 141卷 / 09期

关键词：

Universality limits; entire functions; reproducing kernels; ORTHOGONAL POLYNOMIALS; ASYMPTOTICS; SETS; BULK;

D O I：

10.1090/S0002-9939-2013-11585-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Various statements on the distribution of eigenvalues of random matrices are obtained by considering the limiting behavior of the reproducing kernels of a certain naturally associated sequence of orthogonal polynomials. We establish a universal limiting behavior of this type in the case when the underlying measure does not have finite moments. In this case the orthogonal polynomials are replaced by a nested family of de Branges spaces of entire functions.

引用

页码：3119 / 3124

页数：6

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