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math.PR2019★ 3 cited
Asymptotics of discrete -corners processes via two-level discrete loop equations
Evgeni Dimitrov, Alisa Knizel
We introduce and study a class of discrete particle ensembles that naturally arise in connection with classical random matrix ensembles, log-gases and Jack polynomials. Under techn…
math-ph2019
-Racah ensemble and -P discrete Painlevé equation
Anton Dzhamay, Alisa Knizel
The goal of this paper is to investigate the missing part of the story about the relationship between the orthogonal polynomial ensembles and Painlevé equations. Namely, we conside…