2 papers
math.PR2025
Central limit theorem for high temperature spin models via martingale embedding
Xiao Fang, Yang Xie, Yi-Kun Zhao
We use martingale embeddings to prove a central limit theorem (CLT) for one-dimensional projections of high-dimensional random vectors in satisfying a Poincaré inequal…
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…