PARTITION-BASED ENTROPIES OF DETERMINISTIC AND STOCHASTIC MAPS

DOI10.1142/S0219493701000047zbMath1041.94524MaRDI QIDQ4460413

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Publication date: 18 May 2004

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

zbMATH Keywords

Kolmogorov-Sinai entropygrammar-based complexity/information measureShannon's conditional entropy

Mathematics Subject Classification ID

Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Stochastic systems in control theory (general) (93E03) Random dynamical systems aspects of multiplicative ergodic theory, Lyapunov exponents (37H15) Measures of information, entropy (94A17)

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Cites Work

• A Mathematical Theory of Communication
• Symbolic dynamics and entropy analysis of Feigenbaum limit sets
• On grammars, complexity, and information measures of biological macromolecules
• Finite sample effects in sequence analysis
• A comparative classification of complexity measures
• Symbolic dynamics, entropy and complexity of the Feigenbaum map at the accumulation point
• Guessing probability distributions from small samples
• On the Complexity of Finite Sequences
• CHARACTERISTIC LYAPUNOV EXPONENTS AND SMOOTH ERGODIC THEORY
• Ergodic theory of chaos and strange attractors
• Entropy Analysis of Noise Contaminated Sequences

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