Showing math.PRShow all
3 papers · 1 filter
math.PR2025
High-dimensional normal approximations for sums of Langevin Markov chains
Tian Shen, Zhonggen Su, Xiaolin Wang
Consider the well-known Langevin diffusion on and its Euler-Maruyama discretization give…
math.PR2025
Coupling between Brownian motion and random walks on the infinite percolation cluster
Chenlin Gu, Zhonggen Su, Ruizhe Xu
For the supercritical Bernoulli bond percolation on (), we give a coupling between the random walk on the infinite cluster and its limit Brownian motion, s…
math.PR2025
Conditional central limit theorems for exponential random graphs
Xiao Fang, Song-Hao Liu, Zhonggen Su +1
In this paper, we study the Exponential Random Graph Models (ERGMs) conditioning on the number of edges. In subcritical region of model parameters, we prove a conditional Central L…