4 papers
Generalized Freud weight, discrete Painlevé I hierarchy and full asymptotics of Hankel determinants
Wen-Gao Long, Lin-Rong Tang, Chao Min
In this paper, we investigate the monic orthogonal polynomials and the Hankel determinants associated with the generalized Freud weight \[w(x;T…
The discrete Painlevé XXXIV hierarchy arising from the gap probability distributions of Freud random matrix ensembles
Chao Min, Liwei Wang
We consider the symmetric gap probability distributions of certain Freud unitary ensembles. This problem is related to the Hankel determinants generated by the Freud weights suppor…
Orthogonal Polynomials with a Singularly Perturbed Airy Weight
Chao Min, Yuan Cheng
We study the monic orthogonal polynomials with respect to a singularly perturbed Airy weight. By using Chen and Ismail's ladder operator approach, we derive a discrete system satis…
Asymptotics of the Smallest Eigenvalue Distributions of Freud Unitary Ensembles
Chao Min, Liwei Wang
We consider the smallest eigenvalue distributions of some Freud unitary ensembles, that is, the probabilities that all the eigenvalues of the Hermitian matrices from the ensembles…