55 citations · 289 across the 73 of their papers we have counts for
4 papers · 2 filters
Coupling property and gradient estimates of Lévy processes via the symbol
René L. Schilling, Paweł Sztonyk, Jian Wang
We derive explicitly the coupling property for the transition semigroup of a Lévy process and gradient estimates for the associated semigroup of transition operators. This is based…
Constructions of Coupling Processes for Lévy Processes
Björn Böttcher, René L. Schilling, Jian Wang
We construct optimal Markov couplings of Lévy processes, whose Lévy (jump) measure has an absolutely continuous component. The construction is based on properties of subordinate Br…
On the Coupling Property of Lévy Processes
René L. Schilling, Jian Wang
We give necessary and sufficient conditions guaranteeing that the coupling for Lévy processes (with non-degenerate jump part) is successful. Our method relies on explicit formulae…
Strong Feller Continuity of Feller Processes and Semigroups
René L. Schilling, Jian Wang
We study two equivalent characterizations of the strong Feller property for a Markov process and of the associated sub-Markovian semigroup. One is described in terms of locally uni…