Jump process, Markov processes with discontinuous sample paths, constitute an important family of stochastic processes in probability theory. Recently there has been intense interest in studying such jump processes, due to their importance both in theory and in application. In this talk, I will discuss the recent devolvement on the Dirichlet heat kernel estimates for non-local operators which are infinitesimal generators of such jump processes.
This talk is based on joint works with Zhen-Qing Chen and Renming Song.