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16 papers · 1 filter
Harnack Inequalities and Applications for Ornstein-Uhlenbeck Semigroups with Jump
Shun-Xiang Ouyang, Michael Röckner, Feng-Yu Wang
The Harnack inequality established in [13] for generalized Mehler semigroup is improved and generalized. As applications, the log-Harnack inequality, the strong Feller property, th…
Transportation-information inequalities for Markov processes (II) : relations with other functional inequalities
Arnaud Guillin, Christian Leonard, Feng-Yu Wang +1
We continue our investigation on the transportation-information inequalities for a symmetric markov process, introduced and studied in \cite{GLWY}. We prove that impl…
An almost sure limit theorem for super-Brownian motion
Li Wang
We establish an almost sure scaling limit theorem for super-Brownian motion on associated with the semi-linear equation , where and a…
Strong uniqueness for a class of singular SDEs for catalytic branching diffusions
Hui He
A new result for the strong uniqueness for catalytic branching diffusions is established, which improves the work of Dawson, D.A.; Fleischmann, K.; Xiong, J.[Strong uniqueness for…
Rescaled Lotka-Volterra Models Converge to Super Stable Processes
Hui He
Recently, it has been shown that stochastic spatial Lotka-Volterra models when suitably rescaled can converge to a super Brownian motion. We show that the limit process could be a…
Discontinuous Superprocesses with Dependent Spatial Motion
Hui He
We construct a class of discontinuous superprocesses with dependent spatial motion and general branching mechanism. The process arises as the weak limit of critical interacting-bra…