Entropy, linearity and chain-recurrence

DOI10.1007/BF02684774zbMath0423.58010MaRDI QIDQ1134433

David Fried, Michael Shub

Publication date: 1979

Published in: Publications Mathématiques (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=PMIHES_1979__50__203_0

zbMATH Keywords

diffeomorphismaffine manifoldtopological entropyentropy conjectureaxiom A diffeomorphism with no cycleschain-recurrence set

Mathematics Subject Classification ID

Entropy in general topology (54C70) Ergodic theory (37A99) Dynamical systems with hyperbolic behavior (37D99)

Related Items

Volume growth and entropy ⋮ Chain recurrence and average shadowing in dynamics ⋮ Entropy for Smooth Abelian Actions ⋮ Brief survey on the topological entropy

Cites Work

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• Entropy of a differentiable map
• Affine manifolds with nilpotent holonomy
• The ergodic theory of axiom A flows
• Entropy and stability
• On fundamental groups of complete affinely flat manifolds
• Homology theory and dynamical systems
• Entropy versus homology for certain diffeomorphisms
• On Morse-Smale dynamical systems
• Ergodic Properties of Affine Transformations and Flows on Nilmanifolds
• Entropy for Group Endomorphisms and Homogeneous Spaces

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