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arXiv · 2103.15227

Large deviations for discrete $\beta$-ensembles

Sayan Das·Evgeni Dimitrov
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Abstract

We consider discrete $\beta$-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.

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BibTeXRIS

Sayan Das, Evgeni Dimitrov. 2021-03-28. Large deviations for discrete $\beta$-ensembles. https://doi.org/10.1016/j.jfa.2022.109487

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