Communications in Mathematical Physics

, Volume 78, Issue 4, pp 479–497 | Cite as

Statistical properties of lorentz gas with periodic configuration of scatterers

  • L. A. Bunimovich
  • Ya. G. Sinai


In our previous paper Markov partitions for some classes of dispersed billiards were constructed. Using these partitions we estimate the decay of velocity auto-correlation function and prove the central limit theorem of probability theory and Donsker's Invariance Principle for Lorentz Gas with periodic configuration of scatterers.


Neural Network Statistical Physic Complex System Nonlinear Dynamics Probability Theory 
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Copyright information

© Springer-Verlag 1981

Authors and Affiliations

  • L. A. Bunimovich
    • 1
  • Ya. G. Sinai
    • 1
  1. 1.Landau Institute of Theoretical PhysicsAcademy of Sciences of the UdSSRMoscowUSSR

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