Local variational principle concerning entropy of a sofic group action

DOI10.1016/j.jfa.2011.11.029zbMath1277.37032arXiv1109.3244OpenAlexW2067866431MaRDI QIDQ665505

Guohua Zhang

Publication date: 5 March 2012

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.3244

zbMATH Keywords

entropyvariational principleamenable groupsofic group

Mathematics Subject Classification ID

Entropy and other invariants (28D20) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Topological entropy (37B40)

Related Items (10)

Variational principle and zero temperature limits of asymptotically (sub)-additive projection pressure ⋮ Finite entropy actions of free groups, rigidity of stabilizers, and a Howe-Moore type phenomenon ⋮ Local conditional entropy in measure for covers with respect to a fixed partition ⋮ Combinatorial independence and sofic entropy ⋮ A subgroup formula for f-invariant entropy ⋮ Entropy theory for sofic groupoids. I: The foundations ⋮ Examples in the entropy theory of countable group actions ⋮ Local entropy via preimage structure ⋮ Local entropy theory of a random dynamical system ⋮ Topological pressure and the variational principle for actions of sofic groups

Cites Work

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• Local entropy theory for a countable discrete amenable group action
• Entropy and the variational principle for actions of sofic groups
• Ergodic theory and statistical mechanics
• The strong approximation conjecture holds for amenable groups
• Relative entropy tuples, relative u.p.e. and c.p.e. extensions
• Entropy and isomorphism theorems for actions of amenable groups
• The Abramov-Rokhlin entropy addition formula for amenable group actions
• Endomorphisms of symbolic algebraic varieties
• Mean topological dimension
• A local variational relation and applications
• A variation on the variational principle and applications to entropy pairs
• On groups with full Banach mean value
• A local variational principle for conditional entropy
• Measure conjugacy invariants for actions of countable sofic groups
• Entropy points and applications
• Local entropy theory
• A disjointness theorem involving topological entropy
• A local variational principle for the topological entropy
• Entropy pairs for a measure
• Topological Entropy
• Entropy sequences and maximal entropy sets
• Hyperlinear and Sofic Groups: A Brief Guide
• Topological Entropy Bounds Measure-Theoretic Entropy
• Groups of Automorphisms of Borel Spaces
• Relating Topological Entropy and Measure Entropy

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