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Decay of Correlations for Lorentz Gases and Hard Balls

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Hard Ball Systems and the Lorentz Gas

Part of the book series: Encyclopaedia of Mathematical Sciences ((EMS,volume 101))

Abstract

We discuss rigorous results and open problems on the decay of correlations for dynamical systems characterized by elastic collisions: hard balls, Lorentz gases, Sinai billiards and related models. Recently developed techniques for general dynamical systems with some hyperbolic behavior are discussed. These techniques give exponential decay of correlations for many classes of billiards and open the door to further investigations.

N. Chernov is partially supported by NSF grant DMS-9732728.

L. S. Young is partially supported by NSF grant DMS-9803150.

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Authors
  1. N. Chernov
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  2. L. S. Young
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Editors and Affiliations

  1. Institute of Mathematics, Budapest University of Technology and Economics, 91, 1521, Budapest, Hungary

    D. Szász

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Chernov, N., Young, L.S. (2000). Decay of Correlations for Lorentz Gases and Hard Balls. In: Szász, D. (eds) Hard Ball Systems and the Lorentz Gas. Encyclopaedia of Mathematical Sciences, vol 101. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-04062-1_5

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  • DOI: https://doi.org/10.1007/978-3-662-04062-1_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-08711-0

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