2 papers
math-ph2025
Spectral analysis of -deformed unitary ensembles with the Al-Salam--Carlitz weight
Sung-Soo Byun, Yeong-Gwang Jung, Jaeseong Oh
We study -deformed random unitary ensembles associated with the weight function of the Al-Salam--Carlitz orthogonal polynomials, indexed by a parameter . In the special c…
math.PR2024
-deformed Gaussian unitary ensemble: spectral moments and genus-type expansions
Sung-Soo Byun, Peter J. Forrester, Jaeseong Oh
The eigenvalue probability density function of the Gaussian unitary ensemble permits a -extension related to the discrete -Hermite weight and corresponding -orthogonal pol…