Asymptotic decoupling and weak Gibbs measures for finite alphabet shift spaces

DOI10.1088/1361-6544/ab8fb7zbMath1483.37020OpenAlexW3047090494MaRDI QIDQ5130912

Wayne G. Sullivan, Charles-Edouard Pfister

Publication date: 29 October 2020

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1361-6544/ab8fb7

zbMATH Keywords

thermodynamic formalismsymbolic dynamicslarge deviationsequilibrium statesinteracting random processeslattice systems

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Large deviations (60F10) 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)

Related Items (3)

Equilibrium measures of the natural extension of -shifts ⋮ Relative pressure functions and their equilibrium states ⋮ Approach to equilibrium in translation-invariant quantum systems: some structural results

Cites Work

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• Statistical mechanics of a one-dimensional lattice gas
• Large deviations for systems with non-uniform structure
• Introduction to (generalized) Gibbs measures
• Weak Gibbs measures and large deviations
• Large deviations estimates for dynamical systems without the specification property. Application to the β-shifts
• An Introduction to Symbolic Dynamics and Coding

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