Abstract:
We will introduce several results about long range random walk on random conductance model, including the quenched invariance principle, quenched local limit theorem, anchored Nash inequality and on-diagonal heat kernel estimates for long range random walk in ergodic random conductance model. The talk is based on a series of joint work with Marek Biskup, Zhen-qing Chen, Takashi Kumagai and Jian Wang.
Biography:
Xin Chen is now Professor at School of Mathematical Sciences, Shanghai Jiao Tong University. His research interest focuses on stochastic analysis and related problems, including stochastic homogenization, functional inequality, jump process and stochastic analysis on manifolds.
Seminar by the NYU-ECNU Institute of Mathematical Sciences at NYU Shanghai
This event is open to the NYU Shanghai community and Math community.