Equivalence of relative Gibbs and relative equilibrium measures for actions of countable amenable groups

DOI10.1088/1361-6544/ab6a75zbMath1487.37040arXiv1809.00078OpenAlexW3103213844MaRDI QIDQ5019843

Brian Marcus, Ricardo Gómez, Sebastián Barbieri, Siamak Taati

Publication date: 11 January 2022

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.00078

zbMATH Keywords

disordered systemssymbolic dynamicsrandom environmentsGibbs measuresthermodynamical formalismequilibrium measuresrelative systems

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) 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)

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