Recurrence and topological entropy of translation operators

DOI10.1016/j.jmaa.2017.11.046zbMath1489.47014OpenAlexW2772099281MaRDI QIDQ1688830

Yongchang Wei, Zongbin Yin

Publication date: 11 January 2018

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2017.11.046

zbMATH Keywords

topological entropynonwandering pointalmost periodic pointhypercyclicitytranslation operators

Mathematics Subject Classification ID

Topological entropy (37B40) Cyclic vectors, hypercyclic and chaotic operators (47A16)

Related Items (21)

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Cites Work

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• Linear chaos
• Operators with the specification property
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• The specification property and infinite entropy for certain classes of linear operators
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• Distributionally chaotic translation semigroups
• Li–Yorke chaos in linear dynamics
• Frequently hypercyclic translation semigroups
• Linear chaos and frequent hypercyclicity
• Frequently hypercyclic semigroups
• Measures of Chaos and a Spectral Decomposition of Dynamical Systems on the Interval
• Hypercyclic and chaotic semigroups of linear operators
• Supercyclic and chaotic translation semigroups
• Topological Entropy
• Chaotic Dynamics of Composition Operators on the Space of Continuous Functions
• Hypercyclic, mixing, and chaoticC₀-semigroups induced by semiflows
• Entropy for Group Endomorphisms and Homogeneous Spaces

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