55 citations · 289 across the 73 of their papers we have counts for
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Quenched Invariance Principle for a class of random conductance models with long-range jumps
Marek Biskup, Takashi Kumagai
We study random walks on among random conductances that permit jumps of arbitrary length. Apart from joint ergodicity with respec…
Exponential Convergence in -Wasserstein Distance for Diffusion Processes without Uniformly Dissipative Drift
Dejun Luo, Jian Wang
By adopting the coupling by reflection and choosing an auxiliary function which is convex near infinity, we establish the exponential convergence of diffusion semigroups $(P_t)_{t\…
Lower Bounds of the Hausdorff dimension for Feller processes
Victoria Knopova, René L. Schilling, Jian Wang
Let be a Feller process generated by a pseudo-differential operator whose symbol satisfies and We prove t…
Uniform Hölder Estimates on Semigroups Generated by Non-Local Operators of Variable Order
Dejun Luo, Jian Wang
We consider the non-local operator of variable order as follows $$Lf(x)= \int_{\R^d\setminus\{0\}}\big(f(x+z)-f(x)-\<\nabla f(x),z\> \I_{\{|z|\le 1\}}\big)\frac{n(x,z)}{|z|^{d+α(x)…
Intrinsic Ultracontractivity of Feynman-Kac Semigroups for Symmetric Jump Processes
Xin Chen, Jian Wang
Consider the symmetric non-local Dirichlet form $(D,\D(D))$ given by with $\D(D)$ the closure of the set of $…