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.