Entropy and actions of sofic groups

DOI10.3934/dcdsb.2015.20.3375zbMath1343.37003OpenAlexW2525829821MaRDI QIDQ256896

F. Blanchet-Sadri, M. Dambrine

Publication date: 10 March 2016

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2015.20.3375

zbMATH Keywords

entropyamenable groupsBernoulli shiftsKolmogorov's theoremsofic groups

Mathematics Subject Classification ID

Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) General groups of measure-preserving transformations and dynamical systems (37A15) Research exposition (monographs, survey articles) pertaining to dynamical systems and ergodic theory (37-02) Measurable group actions (22F10)

Related Items (9)

Topological entropy, upper Carath ⋮ Algebraic entropy for amenable semigroup actions ⋮ Ore localization of amenable monoid actions and applications toward entropy -- addition formulas and the bridge theorem ⋮ Variational principles of receptive entropies for semigroup actions ⋮ The work of Lewis Bowen on the entropy theory of non-amenable group actions ⋮ Examples in the entropy theory of countable group actions ⋮ A bridge theorem for the entropy of semigroup actions ⋮ Entropy on normed semigroups (towards a unifying approach to entropy) ⋮ On entropy, entropy-like quantities, and applications

Cites Work

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• Endomorphisms of symbolic algebraic varieties
• Entropy and mixing for amenable group actions
• Mean dimension, small entropy factors and an embedding theorem
• Mean topological dimension
• Topological invariants of dynamical systems and spaces of holomorphic maps. I.
• Sofic mean dimension
• Newton’s Laws and Coin Tossing
• Measure conjugacy invariants for actions of countable sofic groups
• Topological Entropy

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