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.
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页数：108
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