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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…
math-ph2015
Moduli spaces of q-connections and gap probabilities
Alisa Knizel
Our goal is to show that the one-interval gap probability for the q-Hahn orthogonal polynomial ensemble can be expressed through a solution of the asymmetric q-Painleve V equation.…