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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)

  目:Diffusion of Lorentz gases with flat points

  间:2019.03.14(星期四), 16 :00-17:00

  点:数学院南楼N913

 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.

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