Large-N Asymptotic Expansion for Mean Field Models with Coulomb Gas Interaction

被引：35

作者：

Borot, Gaetan ^{[1
,2
,3
]}

Guionnet, Alice ^{[3
]}

Kozlowski, Karol K. ^{[4
]}

机构：

[1] Univ Geneva, Sect Math, CH-1211 Geneva 4, Switzerland

[2] Max Planck Inst Math, D-53111 Bonn, Germany

[3] MIT, Dept Math, Cambridge, MA 02139 USA

[4] CNRS UMR 5584, Inst Math Bourgogne, F-21078 Dijon, France

来源：

INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2015年 / 2015卷 / 20期

基金：

美国国家科学基金会; 瑞士国家科学基金会;

关键词：

HIGHER-GENUS CORRELATORS; RANDOM LATTICE; MATRIX MODELS; O(N) MODEL; EIGENVALUES;

D O I：

10.1093/imrn/rnu260

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We derive the large-N, all order asymptotic expansion for a system of N particles with mean field interactions on top of a Coulomb repulsion at temperature 1/beta, under the assumptions that the interactions are analytic, off-critical, and satisfy a local strict convexity assumption.

引用

页码：10451 / 10524

页数：74

共 49 条

[1] Higher genus correlators for the hermitian matrix model with multiple cuts [J].