主题:  Regularity and Fractal Properties of Stochastic Heat Equations主讲人:  Xiao, Yimin地点:  松江校区2号学院楼331理学院报告厅时间:  2019-05-24 15:00:00组织单位:   理学院

主讲人简介：Xiao Yimin (肖益民)博士，美国密歇根州立大学(Michigan State University)教授、统计系主任、北京理工大学兼职教授、博士生导师，在PTRF,AOP, SPA，Bernoulli等国际顶级学术杂志上发表论文130多篇。

内容摘要：Consider a system of linear stochastic heat equations driven byspace-time fractional-colored Gaussian noise. Its mild solution, when exists,is a Gaussian random field. By applying methods on the latter, we investigate various analytic and fractal properties of the solutions of the stochastic heat equations. These include exact modulus of continuity,hitting probabilities, fractal dimensions, and the existence of intersections. The proofs of these results are based on the properties of strong local nondeterminism.

报告主持：闫理坦 教授

撰写：闫理坦