One-dimensional Gibbs states and Axiom A diffeomorphisms

DOI10.4310/jdg/1214440727zbMath0628.58043OpenAlexW1560090579WikidataQ114572877 ScholiaQ114572877MaRDI QIDQ1093226

David Pierre Ruelle

Publication date: 1987

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/jdg/1214440727

zbMATH Keywords

symbolic dynamicsstatistical mechanicsGibbs statesAxiom A diffeomorphismsone-dimensional classical lattice systemspair correlation functions

Mathematics Subject Classification ID

Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Dynamical aspects of statistical mechanics (37A60)

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