The topological entropy of stable sets for bi-orderable amenable groups

DOI10.1007/s10884-020-09835-6zbMath1472.37020OpenAlexW3008246860MaRDI QIDQ2025678

Tao Yu, Jie Li

Publication date: 14 May 2021

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

Full work available at URL: https://doi.org/10.1007/s10884-020-09835-6

zbMATH Keywords

entropystable setgroup actions

Mathematics Subject Classification ID

Ergodic theory on groups (22D40) Entropy and other invariants (28D20) Topological entropy (37B40) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Dynamics in general topological spaces (37B02)

Cites Work

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• Local entropy theory for a countable discrete amenable group action
• Entropy and isomorphism theorems for actions of amenable groups
• Ergodic actions with generalized discrete spectrum
• Multiple recurrence theorem for nilpotent group actions
• Mean topological dimension
• Asymptotic pairs, stable sets and chaos in positive entropy systems
• Entropy sets, weakly mixing sets and entropy capacity
• Stable sets and \(\epsilon\)-stable sets in positive-entropy systems
• Stable sets and mean Li–Yorke chaos in positive entropy actions of bi-orderable amenable groups
• Asymptotic pairs in positive-entropy systems
• On groups with full Banach mean value
• Cellular Automata and Groups
• A local variational principle for the topological entropy
• Local entropy theory of a random dynamical system