Equilibrium states of almost Anosov diffeomorphisms

DOI10.3934/DCDS.2020061zbMath1433.37038arXiv1901.04631OpenAlexW3105886879MaRDI QIDQ2281596

Dominic Veconi

Publication date: 3 January 2020

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.04631

zbMATH Keywords

thermodynamic formalismequilibrium statesnonuniform hyperbolicitysmooth ergodic theoryalmost Anosov diffeomorphisms

Mathematics Subject Classification ID

Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35)

Related Items (3)

Anatole Katok ⋮ Uniqueness and continuity of equilibrium states for DA-diffeomorphisms ⋮ Thermodynamics of smooth models of pseudo–Anosov homeomorphisms

Cites Work

• Uniqueness of SRB measures for transitive diffeomorphisms on surfaces
• Bernoulli diffeomorphisms on surfaces
• Thermodynamics of towers of hyperbolic type
• SRB measures for almost Axiom A diffeomorphisms
• The metric entropy of diffeomorphisms
• Nonexistence of SBR measures for some diffeomorphisms that are ‘Almost Anosov’
• Thermodynamics of the Katok map
• Conditions for the Existence of SBR Measures for “Almost Anosov” Diffeomorphisms
• Unnamed Item

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