Prof Song Renming : Sharp estimates on the Dirichlet heat kernels of subordinate Brownian motions

Posted by Min Yang , part of the Statistics and Data Science Seminar.

At

Feb. 13, 2013, 4 p.m.

In

SEO 636

Abstract

A subordinate Brownian motion can be obtained by replacing the time parameter of a Brownian motion by an increasing Levy process (i.e., subordinator). Subordinate Brownian motions are very important in various applications. In this talk, I will give a survey of some recent results in the study of subordinate Brownian motions. In particular, I will present results on sharp two-sided estimates of the Dirichlet heat kernel estimates of subordinate Brownian motions.