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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…
Two-sided heat kernel estimates for Schrödinger operators with unbounded potentials
Chen Xin, Wang Jian
Consider the Schrödinger operator on , where is a nonnegative and locally bounded potential on so that for all …