Hui Xiao

activity

20172026

most citedA zero-one law for invariant measures and a local limit theorem for coefficients of random walks on the general linear group

13 citations · 53 across the 20 of their papers we have counts for

collaborators

Showing 2025Show all

2 papers · 1 filter

math.PR2025

Local limit theorems for conditioned random walks by the heat kernel approximation

Ion Grama, Hui Xiao

We study the random walk $(S_{n})_{n \geq 1}$ with independent and identically distributed real-valued increments having zero mean and an absolute moment of order $2 + δ$ for some $δ>…

math.PR2025

Spinal decomposition, martingale convergence and the Seneta-Heyde scaling for matrix branching random walks

Ion Grama, Sebastian Mentemeier, Hui Xiao

We consider a matrix branching random walk on the semi-group of nonnegative matrices, where we are able to derive, under general assumptions, an analogue of Biggins' martingale con…