Stable sets and mean Li–Yorke chaos in positive entropy actions of bi-orderable amenable groups

DOI10.1017/etds.2015.17zbMath1362.37079arXiv1504.02572OpenAlexW2964294065MaRDI QIDQ2976305

Lei Jin, Wen Huang

Publication date: 28 April 2017

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.02572

zbMATH Keywords

amenable groupLi-Yorke chaos

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) 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)

Related Items (6)

Packing Entropy of Saturated Sets for Nonuniformly Hyperbolic Systems ⋮ Mean Proximality, Mean Sensitivity and Mean Li–Yorke Chaos for Amenable Group Actions ⋮ Topological Entropy and Mixing Invariant Extremal Distributional Chaos ⋮ Mean Li-Yorke chaos along some good sequences ⋮ The topological entropy of stable sets for bi-orderable amenable groups ⋮ Relative Entropy and Mean Li–Yorke Chaos for Biorderable Amenable Group Actions

Cites Work

• Forward mean proximal pairs and zero entropy
• Combinatorial independence and sofic entropy
• Pointwise theorems for amenable groups.
• Mean topological dimension
• Asymptotic pairs, stable sets and chaos in positive entropy systems
• Independence in topological and \(C^*\)-dynamics
• Stable sets and mean Li-Yorke chaos in positive entropy systems
• Positive topological entropy implies chaos DC2
• Ergodic Theory
• Devaney's chaos or 2-scattering implies Li-Yorke's chaos

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