Existence and uniqueness of equilibrium states for systems with specification at a fixed scale: an improved Climenhaga–Thompson criterion*

DOI10.1088/1361-6544/ac956fOpenAlexW4306402912MaRDI QIDQ5042395

Jiagang Yang, Fan Yang, Maria Jose Pacifico

Publication date: 19 October 2022

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1361-6544/ac956f

zbMATH Keywords

thermodynamic formalismflowsequilibrium statesspecification propertynonuniform dynamicsspecification at a fixed scale

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25)

Cites Work

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• Unique equilibrium states for flows and homeomorphisms with non-uniform structure
• The ergodic theory of axiom A flows
• Intrinsic ergodicity beyond specification: \({\beta}\)-shifts, \(S\)-gap shifts, and their factors
• Entropy theory for sectional hyperbolic flows
• Uniqueness of the measure of maximal entropy for geodesic flows on certain manifolds without conjugate points
• Some systems with unique equilibrium states
• Maximizing entropy for a hyperbolic flow
• A Measure Associated with Axiom-A Attractors
• Flows with Unique Equilibrium States
• Unique equilibrium states for Bonatti–Viana diffeomorphisms
• Thermodynamic formalism for countable Markov shifts
• Equilibrium states for Mañé diffeomorphisms
• One-sided almost specification and intrinsic ergodicity
• Entropy for Group Endomorphisms and Homogeneous Spaces
• GIBBS MEASURES IN ERGODIC THEORY
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms

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