Relative Entropy and Mean Li–Yorke Chaos for Biorderable Amenable Group Actions

DOI10.1142/S0218127420500327zbMath1442.37021OpenAlexW3011336717MaRDI QIDQ5222632

Kesong Yan, Fan Ping Zeng

Publication date: 6 April 2020

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127420500327

zbMATH Keywords

relative entropyamenable group actionsmean Li-Yorke chaos

Mathematics Subject Classification ID

Ergodic theory on groups (22D40) Topological entropy (37B40) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Dynamics in general topological spaces (37B02)

Related Items (1)

An alternative definition of topological entropy for amenable group actions

Cites Work

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• Combinatorial independence and sofic entropy
• Entropy and isomorphism theorems for actions of amenable groups
• Pointwise theorems for amenable groups.
• Mean topological dimension
• Topological invariants of dynamical systems and spaces of holomorphic maps. I.
• Asymptotic pairs, stable sets and chaos in positive entropy systems
• Conditional entropy and fiber entropy for amenable group actions
• Independence in topological and \(C^*\)-dynamics
• Stable sets and mean Li-Yorke chaos in positive entropy systems
• Positive topological entropy implies chaos DC2
• Stable sets and mean Li–Yorke chaos in positive entropy actions of bi-orderable amenable groups
• Mean proximality and mean Li-Yorke chaos
• Relative Entropy and Mean Li-Yorke Chaos
• On groups with full Banach mean value
• RELATIVE ENTROPY, ASYMPTOTIC PAIRS AND CHAOS
• Measures of Chaos and a Spectral Decomposition of Dynamical Systems on the Interval
• Pointwise theorems for amenable groups
• On Li-Yorke pairs
• Mean Proximality, Mean Sensitivity and Mean Li–Yorke Chaos for Amenable Group Actions
• Independent sets in topological algebras
• Ergodic Theory
• Devaney's chaos or 2-scattering implies Li-Yorke's chaos

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