A. Dzhamay

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20002020

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math-ph2019

$q$ -Racah ensemble and $q$ -P $(E_{7}^{(1)} / A_{1}^{(1)})$ 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-ph2018

On Some Applications of Sakai's Geometric Theory of Discrete Painlevé Equations

Anton Dzhamay, Tomoyuki Takenawa

Although the theory of discrete Painlevé (dP) equations is rather young, more and more examples of such equations appear in interesting and important applications. Thus, it is esse…

q-Racah ensemble and q-P(E7(1)​/A1(1)​) discrete Painlevé equation

On Some Applications of Sakai's Geometric Theory of Discrete Painlevé Equations

$q$ -Racah ensemble and $q$ -P $(E_{7}^{(1)} / A_{1}^{(1)})$ discrete Painlevé equation