Speaker: Xiao Yimin, Professor at Michigan State University

Date: December 22, 2022

Time: 09:00-11:30

Location: Tencent Meeting

Sponsor: School of Mathematics, Shandong University

Abstract:

This mini-course consists of nine two-hour lectures covering the following topics: 1. an introduction on random fields; 2. general results on regularity of Gaussian random fields; 3. exact results on regularity of Gaussian random fields; 4. properties of strong local nondeterminism; 5. fractal properties of random fields; 6. local times of Gaussian random fields; 7. hitting probabilities, polarity, and self-intersections; 8. properties of linear stochastic heat and wave equations; 9. properties of nonlinear stochastic heat equation.

For more information, please visit:

https://www.view.sdu.edu.cn/info/1020/174087.htm