Hyperbolic billiards and statistical physics

  • Nikolai Chernov

    University of Alabama at Birmingham, United States
  • Dmitry Dolgopyat

    University of Maryland, College Park, United States
Hyperbolic billiards and statistical physics cover

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Abstract

Mathematical theory of billiards is a fascinating subject providing a fertile source of new problems as well as conjecture testing in dynamics, geometry, mathematical physics and spectral theory. This survey is devoted to planar hyperbolic billiards with emphasis on their applications in statistical physics, where they provide many physically interesting and mathematically tractable models.