The Lanford–Ruelle theorem for actions of sofic groups
DOI10.1090/tran/8810OpenAlexW4295709212MaRDI QIDQ5869855
Tom Meyerovitch, Sebastián Barbieri
Publication date: 12 January 2023
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2112.02334
Entropy and other invariants (28D20) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Symbolic dynamics (37B10) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20)
Cites Work
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- Weak expansiveness for actions of sofic groups
- Markov random fields, Markov cocycles and the 3-colored chessboard
- Entropy and the variational principle for actions of sofic groups
- The weak limit of Ising models on locally tree-like graphs
- Ergodic theory and statistical mechanics
- Endomorphisms of symbolic algebraic varieties
- Krieger's finite generator theorem for actions of countable groups. I.
- Gibbs measures over locally tree-like graphs and percolative entropy over infinite regular trees
- A uniqueness condition for Gibbs measures, with application to the 2- dimensional Ising antiferromagnet
- Markovian properties of continuous group actions: algebraic actions, entropy and the homoclinic group
- Krieger's finite generator theorem for actions of countable groups. II
- Statistica mechanics of quantum spin systems. III
- The entropy of Gibbs measures on sofic groups
- Gibbsian representations of continuous specifications: the theorems of Kozlov and Sullivan revisited
- One-dimensional Markov random fields, Markov chains and topological Markov fields
- Topological pressure and the variational principle for actions of sofic groups
- ADDITIVITY PROPERTIES OF SOFIC ENTROPY AND MEASURES ON MODEL SPACES
- Specific characteristics and variational principle for homogeneous random fields
- Measure conjugacy invariants for actions of countable sofic groups
- Mesures de Gibbs invariantes et mesures d'equilibre
- The variational principle
- On the Existence of Conformal Measures
- Ergodic Equivalence Relations, Cohomology, and Von Neumann Algebras. I
- Non-uniqueness of measures of maximal entropy for subshifts of finite type
- Symmetric Gibbs measures
- Statistical Mechanics on a Compact Set with Z p Action Satisfying Expansiveness and Specification
- Cantor Minimal Systems
- Thermodynamic Formalism
- Gibbs and equilibrium measures for some families of subshifts
- Examples in the entropy theory of countable group actions
- Conformal measures and the Dobrušin-Lanford-Ruelle equations
- Equivalence of relative Gibbs and relative equilibrium measures for actions of countable amenable groups
- A topological dynamical system with two different positive sofic entropies
- Pseudo-orbit tracing and algebraic actions of countable amenable groups
- Observables at infinity and states with short range correlations in statistical mechanics
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