8 citations · 10 across the 4 of their papers we have counts for
4 papers · 1 filter
Stochastic Heat Equations for infinite strings with Values in a Manifold
Xin Chen, Bo Wu, Rongchan Zhu +1
In the paper, we construct conservative Markov processes corresponding to the martingale solutions to the stochastic heat equation on or with values in…
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…
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…
Random Conductance Models with Stable-like Jumps: Quenched Invariance Principle
Xin Chen, Takashi Kumagai, Jian Wang
We study the quenched invariance principle for random conductance models with long range jumps on , where the transition probability from to is, on average, comparabl…