2 papers
math.PR2025
Mesoscopic Edge Universality of Orthogonal Polynomial Ensembles
Wenkui Liu
In this paper, we study the mesoscopic fluctuations at edges of orthogonal polynomial ensembles with both continuous and discrete measures. Our main result is a Central limit Theor…
math.PR2024
Lozenge Tilings of a Hexagon and q-Racah Ensembles
Maurice Duits, Erik Duse, Wenkui Liu
We study the limiting behavior of random lozenge tilings of the hexagon with a q-Racah weight as the size of the hexagon grows large. Based on the asymptotic behavior of the recurr…