Zero entropy actions of amenable groups are not dominant

DOI10.1017/etds.2023.17arXiv2204.11459OpenAlexW4323313143MaRDI QIDQ6143503

Adam Lott

Publication date: 24 January 2024

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2204.11459

zbMATH Keywords

generic propertiesamenable groupsdominant systems

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) General groups of measure-preserving transformations and dynamical systems (37A15)

Related Items (1)

Dynamics of metrics in measure spaces and scaling entropy

Cites Work

• Unnamed Item
• Unnamed Item
• Ergodic theory and statistical mechanics
• Slow entropy type invariants and smooth realization of commuting measure-preserving transformations
• Measure-theoretic complexity of ergodic systems
• Krieger's finite generator theorem for actions of countable groups. I.
• Finite uniform generators for ergodic, finite entropy, free actions of amenable groups
• Bernoulli shifts with the same entropy are isomorphic
• Ergodic theory of amenable group actions. I: The Rohlin lemma
• High-Dimensional Probability
• On some generic classes of ergodic measure preserving transformations
• An ergodic system is dominant exactly when it has positive entropy

This page was built for publication: Zero entropy actions of amenable groups are not dominant