55 citations · 289 across the 73 of their papers we have counts for
9 papers · 2 filters
Heat kernel for non-local operators with variable order
Xin Chen, Zhen-Qing Chen, Jian Wang
Let be a measurable function taking values in for $0<\A_1\le \A_2<2$, and be a positive measurable function that is symmetric in and bounded betwee…
A Unified Approach to Coupling SDEs driven by Lévy Noise and Some Applications
Mingjie Liang, René L. Schilling, Jian Wang
We present a general method to construct couplings of stochastic differential equations driven by Lévy noise in terms of coupling operators. This approach covers both coupling by r…
Heat kernel estimates of fractional Schrödinger operators with negative hardy potential
Tomasz Jakubowski, Jian Wang
We obtain two-sided estimates for the heat kernel (or the fundamental function) associated with the following fractional Schrödinger operator with negative Hardy potential $$Δ^{α/2…
Random conductance models with stable-like jumps: heat kernel estimates and Harnack inequalities
Xin Chen, Takashi Kumagai, Jian Wang
We establish two-sided heat kernel estimates for random conductance models with non-uniformly elliptic (possibly degenerate) stable-like jumps on graphs. These are long range count…
Long range random walks and associated geometries on groups of polynomial growth
Zhen-Qing Chen, Takashi Kumagai, Laurent Saloff-Coste +2
In the context of countable groups of polynomial volume growth, we consider a large class of random walks that are allowed to take long jumps along multiple subgroups according to…
Compactness and Density Estimates for Weighted Fractional Heat Semigroups
Jian Wang
We prove that the operator with , and generates a compact semigroup or resolvent on , if and only if…