Central limit theorem for high temperature Ising models via martingale embedding

Speaker: 方笑（香港中文大学）

Title: Central limit theorem for high temperature Ising models via martingale embedding

Inviter: 随机分析研究中心

Language: Chinese 

Time & Venue: 2025 年12月19日15:00–16:00 南楼613

Abstract: We use martingale embeddings to prove a central limit theorem (CLT) for projections of high-dimensional random vectors satisfying a Poincar\'e inequality. We obtain a non-asymptotic error bound for the CLT in 2-Wasserstein distance involving two-point and three-point covariances. We present two illustrative applications to Ising models: one with finite-range interactions and the other in the ferromagnetic case under the Dobrushin condition. This is joint work with Yi-Kun Zhao.