7 citations · 16 across the 7 of their papers we have counts for
7 papers
Positive self-similar Markov processes obtained by resurrection
Panki Kim, Renming Song, Zoran Vondraček
In this paper we study positive self-similar Markov processes obtained by (partially) resurrecting a strictly -stable process at its first exit time from . We constr…
Sharp two-sided Green function estimates for Dirichlet forms degenerate at the boundary
Panki Kim, Renming Song, Zoran Vondraček
In this paper we continue our investigation of the potential theory of Markov processes with jump kernels decaying at the boundary. To be more precise, we consider processes in ${\…
Potential theory of subordinate killed Brownian motion
Panki Kim, Renming Song, Zoran Vondraček
Let be a killed Brownian motion in a domain and an independent subordinator with Laplace exponent . The process defined by $Y^D_t=W^D_{S…
Accessibility, Martin boundary and minimal thinness for Feller processes in metric measure spaces
P. Kim, R. Song, Z. Vondraček
In this paper we study the Martin boundary at infinity for a large class of purely discontinuous Feller processes on metric measure spaces. We show that if is accessible f…
Minimal thinness with respect to symmetric Lévy processes
Panki Kim, Renming Song, Zoran Vondraček
Minimal thinness is a notion that describes the smallness of a set at a boundary point. In this paper, we provide tests for minimal thinness at finite and infinite minimal Martin b…
Absolute continuity and singularity of probability measures induced by a purely discontinuous Girsanov transform of a stable process
René L. Schilling, Zoran Vondraček
In this paper we study mutual absolute continuity and singularity of probability measures on the path space which are induced by an isotropic stable Lévy process and the purely dis…