报告人：谢猛子 博士
报告题目：Parabolic rescaling of a stochastic wave map with co-normal noise
报告时间：2026年9月17日（周四）下午19：00
报告地点：Zoom meeting ID：661 7117 1154 密码：916520
主办单位：数学与统计学院、数学研究院、科学技术研究院
报告人简介：
Mengzi Xie is a postdoc at TU Berlin, working with Prof. Jean-Dominique Deuschel and Prof. Wolfgang König. Previously, he obtained Ph.D. from the University of Maryland, College Park, in May 2025, under the supervision of Sandra Cerrai. His research interests include stochastic partial differential equations, probability theory and infinite dimensional analysis. He is also interested in interacting particle systems and random interface models.
报告摘要：
I will talk about the parabolic scaling limit of a damped stochastic wave map from the real line into the two-dimensional sphere, perturbed by multiplicative Gaussian noise of co-normal type. Under this rescaling, the solutions converge to those of the deterministic heat flow for harmonic maps, revealing a transition from stochastic hyperbolic to deterministic parabolic dynamics. I will also talk about the fluctuations around this limit and introduce a central limit theorem, where the limiting process is identified as the solution to a linear stochastic partial differential equation.
