Soobin Cho

collaborators

6 papers

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 $F$ of $R^{d}$ , whos…

math.AP2026

Abnormal boundary decay for stable operators

Soobin Cho, Renming Song

Assume $I^\pm \in (0, 2)$ and $d \geq 2$ . Let $L^{I^} \pm$ be the generator of a symmetric, but not necessarily isotropic, $I^\pm$ -stable process $X$ in $R^{d}$ whose LÃ©vy density…

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 $X$ in bounded smooth subsets of $R^{d}$ : conservative processes and processes killed eit…

math.PR2025

Approximate factorizations for non-symmetric jump processes

Soobin Cho, Renming Song

In this paper, we first extend the approximate factorization for purely discontinuous Markov process established in \cite{CKSV20} by getting rid of some of the conditions imposed i…

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…

math.PR2025

Heat kernel estimates for SchrÃ¶dinger operators with supercritical killing potentials

Soobin Cho, Panki Kim, Renming Song

In this paper, we study the SchrÃ¶dinger operator $I^ - V$ , where $V$ is a supercritical non-negative potential belonging to a large class of functions containing functions of the fo…