A global large deviation principle for discrete β-ensembles
نویسندگان
چکیده
We consider discrete β-ensembles, as introduced by Borodin, Gorin and Guionnet in (Publications mathématiques de l’IHÉS 125, 1–78, 2017). Under general assumptions, we establish a large deviation principle for the empirical (or spectral) measures corresponding to these models. Our results apply cases when potential of model depends on number particles, and/or has slow growth near infinity, leading an equilibrium measure with infinite support.
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ژورنال
عنوان ژورنال: Electronic Journal of Probability
سال: 2023
ISSN: ['1083-6489']
DOI: https://doi.org/10.1214/23-ejp977