Speaker: Zoran Vondracek

Title: Markov processes with jump kernels degenerate  at the boundary

Abstract: In this talk I will give an overview of recent results on Dirichlet forms and corresponding Markov processes with jump kernels decaying at the boundary of the halfspace. I will discuss the general framework as well as motivating examples, and will describe some unexpected new features of potential theory and analysis of such Markov processes. The talk is based on several joint papers with Soobin Cho, Panki Kim and Renming Song.