Fluctuation of mean field spin models

Thời gian: 14h Thứ 5, ngày 09/03/2023

Địa điểm: Phòng 507 nhà A6

Link online Zoom: 845 8621 8812

Passcode: 123456

Tóm tắt: Consider the mean-field spin models where the Gibbs measure of each configuration depends only on its magnetization.Based on the Stein and Laplace methods, we give a new and short proof for the scaling limit theorems with convergence rate for the magnetization in a perturbed model. As an application, we derive the scaling limit theorems for the maximum likelihood estimator in linear models.

Joint work with Adrian Rollin (National University of Singapore)