Colloquium / Seminars
Topic：Heat kernel estimates for a large class of Markov process
Speaker：Dr. Kyung-Youn Kim
Date time：June 2, 2020 14:00 - 15:00
Tea Party：June 2, 2020 13:30 (SA205)
Abstract：Abstract. We discuss recent researches on the heat kernel estimates, which is considered as the transition density in the probability theory. This talk is based on my current two researches as follows:
(1) We discuss Dirichlet heat kernel estimates for a large class of a Markov process $Y$ where its jumping kernel is comparable the one with a weak scaling condition.
This is joint work with Tomasz Grzywny and Panki Kim.
(2) Also we consider the non-isotropic Markov processes $Z:=(Z_1, \ldots, Z_d)$ where each coordinates $Z_i$ are $d$--independent $1$--dimensional $\alpha$--stable processes.
This is joint work with Moritz Kassmann and Takashi Kumagai.