Chain recurrence rates and topological entropy

DOI10.1016/j.topol.2008.07.005zbMath1151.37304arXiv0801.1635OpenAlexW2003260494WikidataQ116262666 ScholiaQ116262666MaRDI QIDQ2378292

Jim Wiseman, David Richeson

Publication date: 7 January 2009

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0801.1635

zbMATH Keywords

topological entropychain transitivitychain recurrencechain mixing

Mathematics Subject Classification ID

Topological entropy (37B40) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)

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Cites Work

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• The structure of symmetric attractors
• Connected components of attractors and other stable sets
• Applied symbolic dynamics: Attractors and filtrations
• The symmetry perspective. From equilibrium to chaos in phase space and physical space
• A characterization of adding machine maps
• An algorithmic approach to chain recurrence
• On Powers of Non-Negative Matrices
• Prevalence of odometers in cellular automata
• Periodic Orbits and Solenoids in Generic Hamiltonian Dynamical Systems
• Regular periodic decompositions for topologically transitive maps
• Dynamics of topologically generic homeomorphisms
• Stretching the Oxtoby-Ulam Theorem
• Liapunov stability and adding machines
• Generic Homeomorphisms Have no Smallest Attractors
• An Introduction to Symbolic Dynamics and Coding
• Adding machines as invariant sets for homeomorphisms of a disk into the plane
• TOTALLY CHAIN-TRANSITIVE ATTRACTORS OF GENERIC HOMEOMORPHISMS ARE PERSISTENT
• Finite precision representation of the Conley decomposition