68 citations · 441 across the 101 of their papers we have counts for
11 papers · 1 filter
Lower deviation for the supremum of the support of super-Brownian motion
Yan-Xia Ren, Renming Song, Rui Zhang
We study the asymptotic behavior of the supremum of the support of a supercritical super-Brownian motion. In our recent paper (Stoch. Proc. Appl. 137 (2021), 1-34), we showed…
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…
Weak convergence of the extremes of branching Lévy processes with regularly varying tails
Yan-Xia Ren, Renming Song, Rui Zhang
In this paper, we study the weak convergence of the extremes of supercritical branching Lévy processes whose spatial motions are Lévy processes with regu…
Potential theory of Dirichlet forms with jump kernels blowing up at the boundary
Panki Kim, Renming Song, Zoran Vondraček
In this paper we study the potential theory of Dirichlet forms on the half-space defined by the jump kernel and the killing p…
Harnack inequality and interior regularity for Markov processes with degenerate jump kernels
Panki Kim, Renming Song, Zoran Vondraček
In this paper we study interior potential-theoretic properties of purely discontinuous Markov processes in proper open subsets . The jump kernels of the proc…
Favorite Downcrossing Sites of One-Dimensional Simple Random Walk
Chen-Xu Hao, Ze-Chun Hu, Ting Ma +1
Random walk is a very important Markov process and has important applications in many fields.For a one-dimensional simple symmetric random walk , a site is called a favo…