4 papers
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 and annealed heat kernel estimates for Brox's diffusion
Xin Chen, Jian Wang
Brox's diffusion is a typical one-dimensional singular diffusion, which was introduced by Brox (1986) as a continuous analogue of Sinai's random walk. In this paper, we will establ…
Heat kernels and Green functions for fractional Schrödinger operators with confining potentials
Xin Chen, Kamil Kaleta, Jian Wang
We give two-sided, global (in all variables) estimates of the heat kernel and the Green function of the fractional Schrödinger operator with a non-negative and locally bounded pote…
Quantitative periodic homogenization for symmetric non-local stable-like operators
Xin Chen, Zhen-Qing Chen, Takashi Kumagai +1
Homogenization for non-local operators in periodic environments has been studied intensively. So far, these works are mainly devoted to the qualitative results, that is, to determi…