Asymptotics for a Determinant with a Confluent Hypergeometric Kernel

被引：34

作者：

Deift, Percy ^{[2
]}

Krasovsky, Igor ^{[1
]}

Vasilevska, Julia ^{[1
]}

机构：

[1] Brunel Univ, Dept Math Sci, Uxbridge UB8 3PH, Middx, England

[2] NYU, Courant Inst Math Sci, New York, NY 10003 USA

来源：

INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2011年 / 2011卷 / 09期

基金：

英国工程与自然科学研究理事会; 美国国家科学基金会;

关键词：

RIEMANN-HILBERT APPROACH; RANDOM MATRICES; GAP PROBABILITY; UNIVERSALITY; SPECTRUM; POLYNOMIALS; MODELS; LIMIT; EDGE;

D O I：

10.1093/imrn/rnq150

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We obtain "large gap" asymptotics for a Fredholm determinant with a confluent hyper-geometric kernel. We also obtain asymptotics for determinants with two types of Bessel kernels which appeared in random matrix theory.

引用

页码：2117 / 2160

页数：44

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