Entropy, Lyapunov exponents and the boundary deformation rate under the action of hyperbolic dynamical systems

DOI10.1080/10236198.2015.1077816zbMath1355.37050arXiv1204.0264OpenAlexW2293122184MaRDI QIDQ2804527

B. M. Gurevich, S. A. Komech

Publication date: 29 April 2016

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.0264

zbMATH Keywords

entropyLyapunov exponentsAnosov diffeomorphism

Mathematics Subject Classification ID

Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20)

Related Items (1)

Deformation rate of boundaries in Anosov and related systems

Cites Work

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• Boundary distortion rate in synchronized systems: geometrical meaning of entropy
• The metric entropy of diffeomorphisms. I: Characterization of measures satisfying Pesin's entropy formula
• Lyapunov exponents, entropy and periodic orbits for diffeomorphisms
• SRB measures for partially hyperbolic systems whose central direction is mostly contracting
• The metric entropy of diffeomorphisms. II: Relations between entropy, exponents and dimension
• Fifty years of entropy in dynamics: 1958 -- 2007
• On evolution of small spheres in the phase space of a dynamical system
• CHARACTERISTIC LYAPUNOV EXPONENTS AND SMOOTH ERGODIC THEORY

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