55 citations · 289 across the 73 of their papers we have counts for
6 papers · 2 filters
Functional inequalities for Nonlocal Dirichlet Forms With Finite Range Jumps or Large Jumps
Xin Chen, Jian Wang
The paper is a continuation of our paper [12,2], and it studies functional inequalities for non-local Dirichlet forms with finite range jumps or large jumps. Let and $μ…
Harnack Inequalities for Stochastic Equations Driven by Lévy Noise
Feng-Yu Wang, Jian Wang
By using coupling argument and regularization approximations of the underlying subordinator, dimension-free Harnack inequalities are established for a class of stochastic equations…
Weighted Poincaré Inequalities for Nonlocal Dirichlet Forms
Xin Chen, Jian Wang
Let be a locally bounded measurable function such that is bounded and belongs to , and let be a probability measure. We present th…
On the exponential ergodicity for Lévy driven Ornstein-Uhlenbeck processes
Jian Wang
Based on the explicit coupling property, the ergodicity and the exponential ergodicity of Lévy driven Ornstein-Uhlenbeck processes are established.
Functional Inequalities for Stable-Like Dirichlet Forms
Feng-Yu Wang, Jian Wang
Let such that $μ_V(\d x):= \e^{-V(x)}\,\d x$ is a probability measure, and let . Explicit criteria are presented for the -stable-like Dirichlet form…
On the conservativeness and the recurrence of symmetric jump-diffusions
Jun Masamune, Toshihiro Uemura, Jian Wang
Sufficient conditions for a symmetric jump-diffusion process to be conservative and recurrent are given in terms of the volume of the state space and the jump kernel of the process…