Building thermodynamics for non-uniformly hyperbolic maps
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Publication:2398165
DOI10.1007/s40598-016-0052-8zbMath1380.37063OpenAlexW2524542314MaRDI QIDQ2398165
Vaughn Climenhaga, Ya. B. Pesin
Publication date: 15 August 2017
Published in: Arnold Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40598-016-0052-8
Phase transitions (general) in equilibrium statistical mechanics (82B26) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Symbolic dynamics (37B10) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25)
Related Items (11)
Ground states and zero-temperature measures at the boundary of rotation sets ⋮ The K-property for some unique equilibrium states in flows and homeomorphisms ⋮ Polynomial decay of correlations for flows, including Lorentz gas examples ⋮ Invariant measures in non-conformal fibered systems with singularities ⋮ Thermodynamics of the Katok map ⋮ On the computability of rotation sets and their entropies ⋮ A topological classification of locally constant potentials via zero-temperature measures ⋮ Equilibrium states in dynamical systems via geometric measure theory ⋮ Beyond Bowen’s Specification Property ⋮ Thermodynamics of smooth models of pseudo–Anosov homeomorphisms ⋮ SRB measures and Young towers for surface diffeomorphisms
Uses Software
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