Kyung-Youn Kim

collaborators

2 papers

math.PR2020

Heat kernel bounds for a large class of Markov process with singular jump

Kyung-Youn Kim, Lidan Wang

Let $Z = (Z^{1}, \dots, Z^{d})$ be the $d$ -dimensional Lévy processes where $Z^{i}$ 's are independent $1$ -dimensional Lévy processes with jump kernel $J^{ϕ, 1}(u,w) =|u-w|^{-1}ϕ(|u-…

math.PR2020

Capacity and Exit Time for Non-reversible Diffusions

Lu-Jing Huang, Kyung-Youn Kim

Capacity is an important quantity in potential theory and in the study of Markov processes. We give equivalent conditions between the capacity, the mean exit time, and the Green fu…