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math.PR2026
Heat kernel estimates for Markov processes with blowing-up jump kernels
Soobin Cho, Panki Kim, Renming Song +1
In this paper, we establish sharp two-sided heat kernel estimates for a large class of purely discontinuous symmetric Markov processes on closed subsets of , whos…
math.PR2025
Heat kernel estimates for Markov processes in bounded sets with jump kernels decaying at the boundary
Soobin Cho, Panki Kim, Renming Song +1
In this paper, we study two types of purely discontinuous symmetric Markov processes in bounded smooth subsets of : conservative processes and processes killed eit…
math.PR2025
Heat kernel estimates for Dirichlet forms degenerate at the boundary
Soobin Cho, Panki Kim, Renming Song +1
The goal of this paper is to establish sharp two-sided estimates on the heat kernels of two types of purely discontinuous symmetric Markov processes in the upper half-space of $\ma…