Mean Proximality, Mean Sensitivity and Mean Li–Yorke Chaos for Amenable Group Actions

DOI10.1142/S0218127418500281zbMath1384.37017OpenAlexW2794397539WikidataQ130078934 ScholiaQ130078934MaRDI QIDQ4608930

Kesong Yan, Fan Ping Zeng

Publication date: 29 March 2018

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

Full work available at URL: https://doi.org/10.1142/s0218127418500281

zbMATH Keywords

amenable group actionmean Li-York chaosmean proximalmean sensitive

Mathematics Subject Classification ID

Ergodic theorems, spectral theory, Markov operators (37A30) Symbolic dynamics (37B10) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) General theory of group and pseudogroup actions (22F05)

Related Items (3)

Packing Entropy of Saturated Sets for Nonuniformly Hyperbolic Systems ⋮ Relative Entropy and Mean Li–Yorke Chaos for Biorderable Amenable Group Actions ⋮ On mean sensitive tuples of discrete amenable group actions

Cites Work

• Unnamed Item
• Unnamed Item
• Combinatorial independence and sofic entropy
• Pointwise theorems for amenable groups.
• 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
• On groups with full Banach mean value
• Relations between distributional and Devaney chaos
• Measures of Chaos and a Spectral Decomposition of Dynamical Systems on the Interval
• Pointwise theorems for amenable groups
• On Li-Yorke pairs
• Independent sets in topological algebras
• Devaney's chaos or 2-scattering implies Li-Yorke's chaos

This page was built for publication: Mean Proximality, Mean Sensitivity and Mean Li–Yorke Chaos for Amenable Group Actions