On the relation between Gibbs and -measures

DOI10.1017/etds.2018.13zbMath1427.37025OpenAlexW2795051348MaRDI QIDQ5242528

No author found.

Publication date: 12 November 2019

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

Full work available at URL: https://doi.org/10.1017/etds.2018.13

zbMATH Keywords

thermodynamic formalismequilibrium statesBowen-Gibbs measuresDobrushin-Lanford-Ruelle Gibbs measures

Mathematics Subject Classification ID

Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35)

Related Items (11)

Ruelle operator for continuous potentials and DLR-Gibbs measures ⋮ On a waiting-time result of Kontoyiannis: mixing or decoupling? ⋮ Approach to equilibrium in translation-invariant quantum systems: some structural results ⋮ One-sided continuity properties for the schonmann projection ⋮ Non-regular g-measures and variable length memory chains ⋮ One-Sided Versus Two-Sided Stochastic Descriptions ⋮ The roles of random boundary conditions in spin systems ⋮ Entropic repulsion and lack of the \(g\)-measure property for Dyson models ⋮ Dynamical Gibbs-non-Gibbs transitions in the Curie-Weiss Potts model in the regime \(\beta<3\) ⋮ Infinite DLR measures and volume-type phase transitions on countable Markov shifts ⋮ Conformal measures and the Dobrušin-Lanford-Ruelle equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Regular \(g\)-measures are not always Gibbsian
• Gibbsian random fields for lattice systems with pairwise interactions.
• Cohomology classes of dynamically non-negative \(C^ k\) functions.
• Chains with complete connections and one-dimensional {G}ibbs measures
• Chains with complete connections: general theory, uniqueness, loss of memory and mixing properties
• Entropic repulsion and lack of the \(g\)-measure property for Dyson models
• Description of specifications by means of probability distributions in small volumes under condition of very weak positivity
• Strongly mixing g-measures
• Statistical mechanics and mathematical problems. Battelle Seattle 1971 Rencontres
• Potentials for almost Markovian random fields
• La condition de Walters
• A natural space of functions for the Ruelle operator theorem
• Some systems with unique equilibrium states
• Invariant Measures and Equilibrium States for Some Mappings which Expand Distances
• Criteria for $\bar {d}$-continuity
• Gibbsian description of `non-Gibbsian' fields
• Zeta functions for certain non-hyperbolic systems and topological Markov approximations
• [https://portal.mardi4nfdi.de/wiki/Publication:4401805 Principe variationnel et syst�mes dynamiques symboliques]
• Erratum: A necessary and sufficient condition for a two-sided continuous function to be cohomologous to a one-sided continuous function
• REGULARITY CONDITIONS AND BERNOULLI PROPERTIES OF EQUILIBRIUM STATES AND $g$-MEASURES
• An example of non-unique g -measures
• Relating Topological Entropy and Measure Entropy
• GIBBS MEASURES IN ERGODIC THEORY
• Observables at infinity and states with short range correlations in statistical mechanics

This page was built for publication: On the relation between Gibbs and -measures