Thermodynamics of the Katok map

DOI10.1017/etds.2017.35zbMath1412.37043arXiv1603.08556OpenAlexW2319969400MaRDI QIDQ4614778

Ya. B. Pesin, Samuel Senti, Ke Zhang

Publication date: 31 January 2019

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.08556

zbMATH Keywords

thermodynamic formalismequilibrium measuregeometric potentialKatok map

Mathematics Subject Classification ID

Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Related Items

A family of non-monotonic toral mixing maps ⋮ Exponential decay of random correlations for random Anosov systems mixing on fibers ⋮ SRB measures for pointwise hyperbolic systems on open regions ⋮ Decay of correlations for some non-uniformly hyperbolic attractors ⋮ Anatole Katok ⋮ Thermodynamics via inducing ⋮ Equilibrium states of almost Anosov diffeomorphisms ⋮ On mixing and the local central limit theorem for hyperbolic flows ⋮ Degenerate Chenciner Bifurcation Revisited ⋮ Thermodynamics of the Katok map – CORRIGENDUM ⋮ Unique equilibrium states, large deviations and Lyapunov spectra for the Katok map ⋮ Flexibility of Lyapunov exponents with respect to two classes of measures on the torus ⋮ Thermodynamics of smooth models of pseudo–Anosov homeomorphisms

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