55 citations · 289 across the 73 of their papers we have counts for
6 papers · 2 filters
Martingale Nature and Laws of the Iterated Logarithm for Markov Processes of Pure-Jump Type
Yuichi Shiozawa, Jian Wang
We present sufficient conditions, in terms of the jumping kernels, for two large classes of conservative Markov processes of pure-jump type to be purely discontinuous martingales w…
Periodic Homogenization of a Lévy-Type Process with Small Jumps
Nikola Sandrić, Ivana Valentić, Jian Wang
In this article, we consider the problem of periodic homogenization of a Feller process generated by a pseudo-differential operator, the so-called Lévy-type process. Under the assu…
Exponential ergodicity for general continuous-state nonlinear branching processes
Pei-Sen Li, Jian Wang
By using the coupling technique, we present sufficient conditions for the exponential ergodicity of general continuous-state nonlinear branching processes in both the -Wassers…
Heat kernel estimates for general symmetric pure jump Dirichlet forms
Zhen-Qing Chen, Takashi Kumagai, Jian Wang
In this paper, we consider the following symmetric non-local Dirichlet forms of pure jump type on metric measure space : $$\mathcal{E}(f,g)=\int_{M\times M} (f(x)-f(y))(g(…
Heat kernel estimates and parabolic Harnack inequalities for symmetric Dirichlet forms
Zhen-Qing Chen, Takashi Kumagai, Jian Wang
In this paper, we consider the following symmetric Dirichlet forms on a metric measure space : $$\mathcal{E}(f,g) = \mathcal{E}(^{(c)}(f,g)+\int_{M\times M} (f(x)-f(y))(g(…
Exponential ergodicity for SDEs and McKean-Vlasov processes with Lévy noise
Mingjie Liang, Mateusz B. Majka, Jian Wang
We study stochastic differential equations (SDEs) of McKean-Vlasov type with distribution dependent drifts and driven by pure jump Lévy processes. We prove a uniform in time propag…