Local Entropy, Metric Entropy and Topological Entropy for Countable Discrete Amenable Group Actions

DOI10.1142/S0218127416501108zbMath1343.37005MaRDI QIDQ3187958

Xiankun Ren, Wen Xiang Sun

Publication date: 5 September 2016

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

entropyupper semi-continuityamenable group actionasymptotic entropy expansiveness

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Topological entropy (37B40) General groups of measure-preserving transformations and dynamical systems (37A15)

Related Items

On the topological entropy of saturated sets for amenable group actions, Tail variational principle for a countable discrete amenable group action

Cites Work

• Weak expansiveness for actions of sofic groups
• Local entropy theory for a countable discrete amenable group action
• Ergodic theory and statistical mechanics
• The variational principle
• Topological conditional entropy
• Unnamed Item
• Unnamed Item