On the estimation of topological entropy

DOI10.1007/BF01048189zbMath1101.37302OpenAlexW2016299043MaRDI QIDQ2499900

Sheldon E. Newhouse, Thea Pignataro

Publication date: 23 August 2006

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01048189

zbMATH Keywords

entropydynamical systemvolume growthTopological entropylength growth

Mathematics Subject Classification ID

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Cites Work

• Computing the pressure for Axiom-A attractors by time series and large deviations for the Lyapunov exponent
• An improved algorithm for computing topological entropy
• A two-dimensional mapping with a strange attractor
• Determining Lyapunov exponents from a time series
• Volume growth and entropy
• \(C^ k\)-resolution of semialgebraic mappings, addendum to volume growth and entropy
• Continuity properties of entropy
• Expansiveness, hyperbolicity and Hausdorff dimension
• Generalized dimensions, entropies, and Lyapunov exponents from the pressure function for strange sets.
• Entropy and volume
• Deterministic Nonperiodic Flow
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms

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