Large deviations for discrete $\beta$-ensembles

Sayan Das; Evgeni Dimitrov

doi:10.1016/j.jfa.2022.109487

Large deviations for discrete $\beta$-ensembles

Probability 2024-12-25 v2 Mathematical Physics math.MP

Authors: 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.

Keywords

random matrix ensembles

Cite

@article{arxiv.2103.15227,
  title  = {Large deviations for discrete $\beta$-ensembles},
  author = {Sayan Das and Evgeni Dimitrov},
  journal= {arXiv preprint arXiv:2103.15227},
  year   = {2024}
}

Comments

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

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