Periodic homogenization of discontinuous Markov processes
2021-10-30 09:30:00
2021-10-30 09:30:00
2021-10-30 09:30:00
Speaker : 9:30AM，Zhen-Qing Chen
Time : 2021-10-30 09:30:00
Location :
Speaker:Zhen-Qing Chen (University of Washington)
Date: October 30 Sat. 9:30am
Venue: ZOOM ID：273754387
Abstract:In this talk, I will present recent results on homogenization of discontinuous Markov processes with Levy type generators in periodic media. Under a proper scaling, the scaled Markov process is shown to converge weakly to a Levy process. Different phenomena occur depending on the tails of the jumping kernel of the discontinuous Markov process. These results can be viewed as the non-local counterparts of the celebrated work of Bensoussan-Lions-Papanicoaou and Bhattacharya for diffusions.
Based on joint work with Xin Chen, Takashi Kumagai and Jian Wang.