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math.CA2024
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…
math-ph2024
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…