中科院数学与系统科学研究院

数学研究所

动力系统研讨班报告

报告人：Prof. Hong-Kun Zhang(University of Massachusetts Amherst, USA)

题  目：Diffusion of Lorentz gases with flat points

时  间：2019.03.14（星期四）, 16 :00-17:00

地  点：数学院南楼N913室

摘  要：We investigate the diffusion properties of stochastic processed generated by various hyperbolic dynamical systems. This include modifications of billiards with cusps, dispersing billiards on a torus with infinite horizon, etc. The decay rates of correlations are proven to depend on the degree of the flat points, which varies from 1/n^a, for a>0. The stochastic processes generated by these systems experience different behaviors varying from normal diffusion, super-diffusion, or Levy stable diffusion.