Countable compacta admitting homeomorphisms with positive sequence entropy

DOI10.1007/s10884-008-9115-4zbMath1161.37020OpenAlexW2022034661MaRDI QIDQ957741

Xiang Dong Ye, Rui-feng Zhang

Publication date: 1 December 2008

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10884-008-9115-4

zbMATH Keywords

topological sequence entropyderived setcountable compactumsequence entropy set

Mathematics Subject Classification ID

Topological entropy (37B40) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05)

Related Items (4)

Chaos and null systems ⋮ On distributionally chaotic and null systems ⋮ On regular curve homeomorphisms without periodic points ⋮ Topology and topological sequence entropy

Cites Work

• Combinatorial lemmas and applications to dynamics
• Expansive homeomorphisms of countable compacta
• Sequence entropy pairs and complexity pairs for a measure.
• Chaos in countable dynamical system
• A local variational relation and applications
• Independence in topological and \(C^*\)-dynamics
• Entropy sets, weakly mixing sets and entropy capacity
• Homeomorphisms with the whole compacta being scrambled sets
• Topological Sequence Entropy
• A disjointness theorem involving topological entropy
• Null systems and sequence entropy pairs
• Entropy sequences and maximal entropy sets
• On tame dynamical systems
• Unnamed Item

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