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Limit theorems and Markov approximations for chaotic dynamical systems
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  • Published: September 1995

Limit theorems and Markov approximations for chaotic dynamical systems

  • N. I. Chernov1 

Probability Theory and Related Fields volume 101, pages 321–362 (1995)Cite this article

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Summary

We prove the central limit theorem and weak invariance principle for abstract dynamical systems based on bounds on their mixing coefficients. We also develop techniques of Markov approximations for dynamical systems. We apply our results to expanding interval maps, Axiom A diffeomorphisms, chaotic billiards and hyperbolic attractors.

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Authors and Affiliations

  1. Department of Mathematics, University of Alabama at Birmingham, 35294, Birmingham, AL, USA

    N. I. Chernov

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  1. N. I. Chernov
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Chernov, N.I. Limit theorems and Markov approximations for chaotic dynamical systems. Probab. Th. Rel. Fields 101, 321–362 (1995). https://doi.org/10.1007/BF01200500

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  • Received: 07 March 1994

  • Revised: 26 September 1994

  • Issue Date: September 1995

  • DOI: https://doi.org/10.1007/BF01200500

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Mathematics Subject Classification

  • 28D05
  • 58F11
  • 58F15
  • 60F05
  • 60F17
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