55 citations · 289 across the 73 of their papers we have counts for
9 papers · 1 filter
Heat kernel upper bounds for symmetric Markov semigroups
Zhen-Qing Chen, Panki Kim, Takashi Kumagai +1
It is well known that Nash-type inequalities for symmetric Dirichlet forms are equivalent to on-diagonal heat kernel upper bounds for the associated symmetric Markov semigroups. In…
Quenched asymptotics for symmetric Lévy processes interacting with Poissonian fields
Jian Wang
We establish explicit quenched asymptotics for pure-jump symmetric Lévy processes in general Poissonian potentials, which is closely related to large time asymptotic behavior of so…
Periodic homogenization of non-symmetric Lévy-type processes
Xin Chen, Zhen-Qing Chen, Takashi Kumagai +1
In this paper, we study homogenization problem for strong Markov processes on having infinitesimal generators $$ \sL f(x)=\int_{\R^d}\left(f(x+z)-f(x)-\langle \nabla f(x), z…
Approximation of heavy-tailed distributions via stable-driven SDEs
Lu-Jing Huang, Mateusz B. Majka, Jian Wang
Constructions of numerous approximate sampling algorithms are based on the well-known fact that certain Gibbs measures are stationary distributions of ergodic stochastic differenti…
Quenched invariance principle for long range random walks in balanced random environments
Xin Chen, Zhen-Qing Chen, Takashi Kumagai +1
We establish via a probabilistic approach the quenched invariance principle for a class of long range random walks in independent (but not necessarily identically distributed) bala…
Compactness of semigroups generated by symmetric non-local Dirichlet forms with unbounded coefficients
Yuichi Shiozawa, Jian Wang
Let $(\E,\F)$ be a symmetric non-local Dirichlet from with unbounded coefficient on $L^2(\R^d;\d x)$ defined by $$\E(f,g)=\iint_{\R^d\times \R^d} (f(y)-f(x))(g(x)-g(y)){W(x,y)}\, J…