Renming Song

collaborators

5 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 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…