Thermodynamic formalism for amenable groups and countable state spaces

Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Classical equilibrium statistical mechanics (general) (82B05) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Symbolic dynamics (37B10) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Cites Work

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Regular \(g\)-measures are not always Gibbsian
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Gibbsian random fields for lattice systems with pairwise interactions.
Entropy and isomorphism theorems for actions of amenable groups
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Elementary principles in statistical mechanics developed with especial reference to the rational foundation of thermodynamics.
Geometric group theory. An introduction
Tilings of amenable groups
Entropic repulsion and lack of the \(g\)-measure property for Dyson models
Ruelle operator for continuous potentials and DLR-Gibbs measures
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A Breiman type theorem for Gibbs measures
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Thermodynamic formalism for countable symbolic Markov chains
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Thermodynamic Formalism
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