3 papers
math.PR2025
Local Statistics of Singular Values for Products of Truncated Unitary Matrices
Yandong Gu, Dang-Zheng Liu
This paper investigates local spectral statistics of singular values for many products of independent large rectangular matrices, sampled from the ensemble of truncated unitary mat…
math.PR2025
Reinforced Loop Soup via Wilson's Algorithm
Yinshan Chang, Yichao Huang, Dang-Zheng Liu +1
The goal of this note is twofold: first, we explain the relation between the isomorphism theorems in the context of vertex reinforced jump process discovered in [BHS19, BHS21] and…
math.PR2024
Local limit theorems for random walks on a large discrete torus
Yandong Gu, Dang-Zheng Liu
Inspired by the study of edge statistics of random band matrices, we investigate random walks on large -dimensional periodic lattices, whose transition matrices are determined b…