Chaotic behavior of group actions

DOI10.1090/CONM/669/13434zbMath1376.37027arXiv1503.02176OpenAlexW2120569661MaRDI QIDQ2827688

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Publication date: 20 October 2016

Published in: Dynamics and Numbers (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.02176

zbMATH Keywords

topological entropyLi-Yorke chaosshift of finite typeweakly mixing sethomoclinic equivalence relation

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05)

Related Items (6)

\(\Delta\)-weakly mixing subsets along a collection of sequences of integers ⋮ Devaney's chaos for maps on \(G\)-spaces ⋮ Unnamed Item ⋮ Devaney chaos, Li-Yorke chaos, and multi-dimensional Li-Yorke chaos for topological dynamics ⋮ Classification of transitive group actions ⋮ Conditional entropy and fiber entropy for amenable group actions

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