A note on mean equicontinuity

DOI10.1007/s10884-018-9716-5zbMath1436.37015arXiv1806.09987OpenAlexW2963389495WikidataQ129010390 ScholiaQ129010390MaRDI QIDQ2297208

Jiahao Qiu, Jianjie Zhao

Publication date: 18 February 2020

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.09987

zbMATH Keywords

proximalitymean equicontinuity

Mathematics Subject Classification ID

Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Dynamics in general topological spaces (37B02)

Related Items (16)

Broken family sensitivity in transitive systems ⋮ Density-equicontinuity and density-sensitivity ⋮ The structure of mean equicontinuous group actions ⋮ The proximal relation, regionally proximal relation and Banach proximal relation for amenable group actions ⋮ On the properties of the mean orbital pseudo-metric ⋮ Constant length substitutions, iterated function systems and amorphic complexity ⋮ Equi-invariability and bounded invariance complexity for control systems ⋮ Measure-theoretic equicontinuity and rigidity ⋮ Null systems in the non-minimal case ⋮ Bounded complexity, mean equicontinuity and discrete spectrum ⋮ Mean equicontinuity, complexity and applications ⋮ Equi-invariability, bounded invariance complexity and L-stability for control systems ⋮ On mean sensitive tuples ⋮ Mean equicontinuity, almost automorphy and regularity ⋮ On mean sensitive tuples of discrete amenable group actions ⋮ Equicontinuity and sensitivity in mean forms

Cites Work

• Unnamed Item
• Unnamed Item
• On proximality with Banach density one
• Isomorphic extensions and applications
• Mean-L-stable systems
• How chaotic is an almost mean equicontinuous system?
• Mean proximality and mean Li-Yorke chaos
• Weak forms of topological and measure-theoretical equicontinuity: relationships with discrete spectrum and sequence entropy
• Homomorphisms of Transformation Groups
• Stability Properties of Flows with Pure Point Spectrum
• Bounded complexity, mean equicontinuity and discrete spectrum
• A characterization of 𝜇-equicontinuity for topological dynamical systems
• When is a dynamical system mean sensitive?
• Mean equicontinuity and mean sensitivity
• Ergodic sets

This page was built for publication: A note on mean equicontinuity