Large deviations for discrete $Î²$-ensembles

Sayan Das; Evgeni Dimitrov

doi:10.1016/j.jfa.2022.109487

paper

Large deviations for discrete $I^^{2}$ -ensembles

arXiv:2103.15227 · doi:10.1016/j.jfa.2022.109487

Abstract

We consider discrete $I^^{2}$ -ensembles as introduced by Borodin, Gorin and Guionnet in (Publications math{\' e}matiques de l'IH{\' E}S 125, 1-78, 2017). 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.

84 pages, 5 figures. We corrected a few typos in the first version of the paper and generalized one of our applications in Section 6

Large deviations for discrete I^2-ensembles

Abstract

Large deviations for discrete $I^^{2}$ -ensembles