74 citations · 851 across the 80 of their papers we have counts for
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Singular linear statistics of the Laguerre Unitary Ensemble and Painlevé III (): Double scaling analysis
Min Chen, Yang Chen
We continue with the study of the Hankel determinant, generated by singularly perturbed Laguer…
Continuous and discrete Painleve equations arising from the gap probability distribution of the finite Gaussian Unitary Ensembles
Man Cao, Yang Chen, James Griffin
In this paper we study the gap probability problem in the Gaussian Unitary Ensembles of by matrices : The probability that the interval is free of eigenvalues…
Non linear difference equations arising from a deformation of the q-Laguerre weight
Y. Chen, J. Griffin
We study, in this paper, a one parameter deformation of the Laguerre weight function. An investigation is made on the polynomials orthogonal with respect to such a weight. With…
Asymptotics of determinants of Hankel matrices via non-linear difference equations
Estelle L. Basor, Yang Chen, Nazmus S. Haq
E. Heine in the 19th century studied a system of orthogonal polynomials associated with the weight , , . A related system…