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Limit theorems and Markov approximations for chaotic dynamical systems
Authors:N I Chernov
Institution:(1) Department of Mathematics, University of Alabama at Birmingham, 35294 Birmingham, AL, USA
Abstract: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.
Keywords:28D05  58F11  58F15  60F05  60F17
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