82 citations · 523 across the 45 of their papers we have counts for
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math-ph2018★ 21 cited
A representation of joint moments of CUE characteristic polynomials in terms of Painleve functions
Estelle Basor, Pavel Bleher, Robert Buckingham +4
We establish a representation of the joint moments of the characteristic polynomial of a CUE random matrix and its derivative in terms of a solution of the sigma-Painleve V equatio…
math-ph2018★ 18 cited
Painlevé IV Critical Asymptotics for Orthogonal Polynomials in the Complex Plane
Marco Bertola, José Gustavo Elias Rebelo, Tamara Grava
We study the asymptotic behaviour of orthogonal polynomials in the complex plane that are associated to a certain normal matrix model. The model depends on a parameter and the asym…