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Statistical properties of lorentz gas with periodic configuration of scatterers

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Abstract

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.

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Authors and Affiliations

  1. Landau Institute of Theoretical Physics, Academy of Sciences of the UdSSR, Moscow, USSR

    L. A. Bunimovich & Ya. G. Sinai

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  1. L. A. Bunimovich
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  2. Ya. G. Sinai
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Communicated by A. Jaffe

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Bunimovich, L.A., Sinai, Y.G. Statistical properties of lorentz gas with periodic configuration of scatterers. Commun.Math. Phys. 78, 479–497 (1981). https://doi.org/10.1007/BF02046760

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  • DOI: https://doi.org/10.1007/BF02046760

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