Diffusion of Lorentz gases with flat points

主讲人 Speaker:张宏坤
时间 Time: 周五16:30-17:30,2018-12-14
地点 Venue:清华大学近春园西楼三层报告厅

摘要 Abstract

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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