A global large deviation principle for discrete β-ensembles
A global large deviation principle for discrete β-ensembles
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 in the cases when the potential of the model …