FLUCTUATIONS OF THE METRIC ENTROPY FOR MIXING MEASURES

DOI10.1142/S021949370400119XzbMath1076.37006MaRDI QIDQ4659537

Sandro Vaienti, Nicolai T. A. Haydn

Publication date: 21 March 2005

Published in: Stochastics and Dynamics (Search for Journal in Brave)

zbMATH Keywords

central limit theoremShannon-McMillan-Breiman theoremGibbs property

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Measure-preserving transformations (28D05) Ergodicity, mixing, rates of mixing (37A25) Entropy and other invariants (28D20) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Dynamical systems and their relations with probability theory and stochastic processes (37A50)

Related Items (3)

Multiple Borel-Cantelli lemma in dynamics and multilog law for recurrence ⋮ The almost sure invariance principle for beta-mixing measures ⋮ THE CENTRAL LIMIT THEOREM FOR UNIFORMLY STRONG MIXING MEASURES

Cites Work

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• Limit theorems and Markov approximations for chaotic dynamical systems
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• On fluctuations and the exponential statistics of return times
• Entropy and data compression schemes
• Repetition times for Gibbsian sources
• Entropy fluctuations for parabolic maps
• Return time statistics for unimodal maps
• Some Limit Theorems for Stationary Processes

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