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
收藏
页数：108
相关论文
共 50 条
  • [41] Rapid Mixing of Glauber Dynamics of Gibbs Ensembles via Aggregate Path Coupling and Large Deviations Methods
    Yevgeniy Kovchegov
    Peter T. Otto
    Journal of Statistical Physics, 2015, 161 : 553 - 576
  • [42] Large deviations
    Varadhan, S. R. S.
    ANNALS OF PROBABILITY, 2008, 36 (02): : 397 - 419
  • [43] LARGE DEVIATIONS
    SZNITMAN, AS
    ASTERISQUE, 1987, (152-53) : 207 - 227
  • [44] Large Deviations
    Varadhan, S. R. S.
    PROCEEDINGS OF THE INTERNATIONAL CONGRESS OF MATHEMATICIANS, VOL I: PLENARY LECTURES AND CEREMONIES, 2010, : 622 - 639
  • [45] Large Deviations Conditioned on Large Deviations II: Fluctuating Hydrodynamics
    Bernard Derrida
    Tridib Sadhu
    Journal of Statistical Physics, 2019, 177 : 151 - 182
  • [46] Large Deviations Conditioned on Large Deviations II: Fluctuating Hydrodynamics
    Derrida, Bernard
    Sadhu, Tridib
    JOURNAL OF STATISTICAL PHYSICS, 2019, 177 (01) : 151 - 182
  • [47] DISCRETE CIRCULAR BETA ENSEMBLES
    Lubinsky, D. S.
    RANDOM MATRICES-THEORY AND APPLICATIONS, 2013, 2 (03)
  • [48] GAUSSIAN ASYMPTOTICS OF DISCRETE β-ENSEMBLES
    Borodin, Alexei
    Gorin, Vadim
    Guionnet, Alice
    PUBLICATIONS MATHEMATIQUES DE L IHES, 2017, 125 (01): : 1 - 78
  • [49] A discrete model of neural ensembles
    Rodríguez, FD
    Suárez, A
    López, V
    PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2002, 360 (1792): : 559 - 573
  • [50] Conditional large and moderate deviations for sums of discrete random variables. Combinatoric applications
    Gamboa, Fabrice
    Klein, Thierry
    Prieur, Clementine
    BERNOULLI, 2012, 18 (04) : 1341 - 1360
12345