4 papers · 1 filter
High-order convergence rates of periodic homogenization for symmetric Lévy type operators
Xin Chen, Zhen-Qing Chen, Takashi Kumagai +1
In this paper, we establish higher-order convergence rates of the periodic homogenizatio for symmetric Lévy-type operators, encompassing the subcritical -stable regime, critical…
Quantitative homogenization on time-dependent random conductance models with stable-like jumps
Xin Chen, Zhen-Qing Chen, Takashi Kumagai +1
We establish quantitative homogenization results for time-dependent random conductance models with stable-like long range jumps on , where the transition probability from …
Quenched local limit theorem for random conductance models with long-range jumps
Xin Chen, Takashi Kumagai, Jian Wang
We establish the quenched local limit theorem for reversible random walk on (with ) among stationary ergodic random conductances that permit jumps of arbitrary lengt…
Gradient estimates of the heat kernel for random walks among time-dependent random conductances
Jean-Dominique Deuschel, Takashi Kumagai, Martin Slowik
In this paper we consider a time-continuous random walk in in a dynamical random environment with symmetric jump rates to nearest neighbours. We assume that these ra…