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math.CA2014★ 8 cited
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…
math.CA2014★ 1 cited
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…