\(G\)-chain mixing and \(G\)-chain transitivity in metric \(G\)-space

DOI10.1155/2022/1109686zbMath1498.37012OpenAlexW4206586487MaRDI QIDQ2142344

Zhanjiang Ji

Publication date: 27 May 2022

Published in: Advances in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2022/1109686

zbMATH Keywords

mixingchain transitivitypointwise chain recurrent

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)

Cites Work

• Decomposition theorem on \(G\)-spaces
• Chain mixing, shadowing properties and multi-transitivity
• Chain transitivity and variations of the shadowing property
• Chain Mixing and Chain Transitive Iterated Function Systems
• Consequences of shadowing property of G-spaces
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