Spectral analysis of $q$-deformed unitary ensembles with the Al-Salam--Carlitz weight

Sung-Soo Byun, Yeong-Gwang Jung, Jaeseong Oh

We study $q$-deformed random unitary ensembles associated with the weight function of the Al-Salam--Carlitz orthogonal polynomials, indexed by a parameter $a<0$. In the special c…