报告题目：Large N limit of the Langevin dynamics for the spin O(N) model

主讲人：叶文杰

摘要：In this paper, we prove that the large N limit of the Langevin dynamics for the spin O(N) model is given by a mean-field stochastic differential equation (SDE) in both finite and infinite volumes. We establish uniform in N bounds for the dynamics, which enable us to demonstrate convergence to the mean-field SDE with polynomial interactions. Furthermore, the mean-field SDE is shown to be globally well-posed for suitable initial distributions. We also prove the existence of stationary measures for the mean-field SDE. For small inverse temperatures, we characterize the large N limit of the spin O(N) model through stationary coupling. Additionally, we establish the uniqueness of the stationary measure for the mean-field SDE. This research is a joint work with Rongchan Zhu.

主讲人简介：叶文杰，上海交通大学博士毕业，现为福建师范大学讲师，主要研究流形上的随机分析，随机控制以及倒向随机微分方程。

邀请人：于志勇教授

报告时间：2026年1月6日15:00-16:00

地点：中心校区知新楼B座924