Weak Gibbs measures and equilibrium states

DOI10.1080/14689367.2020.1724886zbMath1466.37029OpenAlexW3004850064MaRDI QIDQ3388736

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Publication date: 6 May 2021

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://hdl.handle.net/10216/125796

zbMATH Keywords

topological pressureequilibrium stateweak Gibbs measuremetric pressure

Mathematics Subject Classification ID

Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35)

Cites Work

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• Variational principle for topological pressures on subsets
• Non-uniform specification and large deviations for weak Gibbs measures
• Equivalence of Gibbs and equilibrium states for homeomorphisms satisfying expansiveness and specification
• Weak Gibbs measures and large deviations
• Large deviations estimates for dynamical systems without the specification property. Application to the β-shifts
• Nonadditive measure-theoretic pressure and applications to dimensions of an ergodic measure
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms

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