Asymptotics of the partition function of a Laguerre-type random matrix model

被引：3

作者：

Zhao, Y. ^{[1
]}

Cao, L. H. ^{[1
]}

Dai, D. ^{[2
]}

机构：

[1] Shenzhen Univ, Coll Math & Computat Sci, Shenzhen 518060, Guangdong, Peoples R China

[2] City Univ Hong Kong, Dept Math, Hong Kong, Hong Kong, Peoples R China

来源：

JOURNAL OF APPROXIMATION THEORY | 2014年 / 178卷

关键词：

Asymptotic expansion; Partition function; Laguerre-type; Riemann-Hilbert approach; ORTHOGONAL POLYNOMIALS; EXPONENTIAL WEIGHTS; UNIVERSALITY; RESPECT;

D O I：

10.1016/j.jat.2013.11.007

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study asymptotics of the partition function Z(N) of a Laguerre-type random matrix model when the matrix order N tends to infinity. By using the Deift-Zhou steepest descent method for Riemann-Hilbert problems, we obtain an asymptotic expansion of log Z(N) in powers of N-2. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：64 / 90

页数：27

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