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Large deviations for discrete $β$-ensembles

Published 28 Mar 2021 in math.PR, math-ph, and math.MP | (2103.15227v2)

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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Authors (2)

  1. Sayan Das 
  2. Evgeni Dimitrov 

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