Seminars

Diffusion for Lorentz gas with flat points

Author:Hong-Kun Zhang    Publicsh date:2017-08-02    Clicks:278
8月2号上午11点到12点数学中心813室 报告题目:Diffusion for Lorentz gas with flat points Hong-Kun Zhang, University of Massachusetts Amherst Abstract: We investigate the diffusion and statistical prop ......
8月2号上午11点到12点数学中心813室
报告题目:Diffusion for Lorentz gas with flat points

Hong-Kun Zhang, University of Massachusetts Amherst

Abstract: We  investigate the diffusion and statistical  properties of several types of Lorentz gas with flat points. This include modifications of billiards with cusps, dispersing billiards on a torus with infinite horizon, etc. The decay rates are proven to depend on the degree of the flat points, which varies from $n^{-a$}, for$ a\in (0,\infty)$. The stochastic processes experience different behaviors varying from normal diffusion, super-diffusion and/or with Levy jumps.