Large deviations for discrete β-ensembles

被引：0

作者：

Das, Sayan ^{[1
]}

Dimitrov, Evgeni ^{[1
]}

机构：

[1] Columbia Univ, Dept Math, 2990 Broadway, New York, NY 10027 USA

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2022年 / 283卷 / 01期

关键词：

Large deviations; Discrete beta ensembles; Krawtchouk ensemble; Jack symmetric functions; EDGE UNIVERSALITY; FLUCTUATIONS; ASYMPTOTICS;

D O I：

10.1016/j.jfa.2022.109487

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider discrete beta-ensembles as introduced by Borodin, Gorin and Guionnet (2017) [9]. Under general assumptions, we establish a large deviation principle for their rightmost particle. We apply our general results to two classes of measures that are related to Jack symmetric functions. Published by Elsevier Inc.

引用

页数：108

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