Large deviations for discrete β-ensembles
Abstract
We consider discrete β-ensembles as introduced by Borodin, Gorin and Guionnet in (Publications math\' ematiques de l'IH\' ES 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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