The systems with almost Banach-mean equicontinuity for abelian group actions

DOI10.1007/s10473-022-0307-5OpenAlexW2971482326MaRDI QIDQ2157862

Yanyan Li

Publication date: 22 July 2022

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.00920

zbMATH Keywords

independence setabelian group actionBanach mean densityBanach mean equicontinuous

Mathematics Subject Classification ID

Topological entropy (37B40) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05)

Related Items (4)

Amorphic complexity of group actions with applications to quasicrystals ⋮ Topological properties on hyperspace of group actions ⋮ Strong proximality for discontinuous skew-product actions of amenable semigroups ⋮ On mean sensitive tuples of discrete amenable group actions

Cites Work

• Local entropy theory for a countable discrete amenable group action
• Mean-L-stable systems
• Sumset phenomenon in countable amenable groups
• Ergodic theory on compact spaces
• Tilings of amenable groups
• Bowen topological entropy of subsets for amenable group actions
• Mean sensitive, mean equicontinuous and almost periodic functions for dynamical systems
• The structure of mean equicontinuous group actions
• Weak forms of topological and measure-theoretical equicontinuity: relationships with discrete spectrum and sequence entropy
• Characterization of model sets by dynamical systems
• Cellular Automata and Groups
• Rigidity in topological dynamics
• On minimal centers of attraction and generic points.
• Sensitive dependence on initial conditions
• Quasi-uniform convergence in dynamical systems generated by an amenable group action
• Stability Properties of Flows with Pure Point Spectrum
• Bounded complexity, mean equicontinuity and discrete spectrum
• Mean equicontinuity and mean sensitivity
• Ergodic Theory
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