The stochastic heat equations: optimal lower bound on hitting probabilities and the probability density function of the supremum
发布时间:2019-05-28    

dafabet手机版网址网址人:蒲飞 【犹他大学】

时 间:2019-06-03 10:30-11:30

地 点:卫津路校区6号楼111教


网址人简介

犹他大学博士

网址内容介绍

dafabet手机版网址The main topic of this talk is the study of hitting probabilities for solutions to systems of stochastic heat equations. We establish an optimal lower bound on hitting probabilities in the non-Gaussian case, which is as sharp as that in the Gaussian case. This is achieved by a sharp Gaussian-type upper bound on the two-point probability density function of the solution. Motivated by the study of upper bounds on the hitting probabilities, we establish a smoothness property and a Gaussian-type upper bound for the probability density function of the supremum of the solution over a space-time rectangle touching the t = 0 axis. This talk is based on joint work with Robert C. Dalang.

官网讲座
利来w66网址-dafa888网站-bet网站-uedbet客户端下载-大亨娱乐-马博体育在线