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Estimates for correlations in billiards with large arcs

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Publication:475682
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DOI10.1007/s10255-011-0078-6zbMath1347.37072OpenAlexW2134624008MaRDI QIDQ475682

Hong-Kun Zhang

Publication date: 27 November 2014

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10255-011-0078-6


zbMATH Keywords

billiardsdecay of correlationsmixing rates


Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25)




Cites Work

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  • On the ergodic properties of nowhere dispersing billiards
  • Using integrability to produce chaos: Billiards with positive entropy
  • Statistical properties of dynamical systems with some hyperbolicity
  • Recurrence times and rates of mixing
  • Decay of correlations and dispersing billiards.
  • Statistical properties of two-dimensional hyperbolic billiards
  • ON BILLIARDS CLOSE TO DISPERSING
  • Billiards with polynomial decay of correlations
  • Nonuniformly hyperbolic K-systems are Bernoulli
  • Billiards with polynomial mixing rates
  • A FAMILY OF CHAOTIC BILLIARDS WITH VARIABLE MIXING RATES
  • Markov partitions for two-dimensional hyperbolic billiards
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