Existence and uniqueness of maximizing measures for robust classes of local diffeomorphisms

DOI10.3934/dcds.2006.15.225zbMath1105.37021arXivmath/0607290OpenAlexW2056102468MaRDI QIDQ2503196

Marcelo Viana, Krerley Oliveira

Publication date: 14 September 2006

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

Full work available at URL: https://arxiv.org/abs/math/0607290

zbMATH Keywords

entropynonuniform hyperbolicitymaximizing measure

Mathematics Subject Classification ID

Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30) Dynamical aspects of statistical mechanics (37A60)

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Large deviations for non-uniformly expanding maps ⋮ Statistical Properties of Lorenz-like Flows, Recent Developments and Perspectives ⋮ Equilibrium states for certain partially hyperbolic attractors ⋮ On equilibrium states for partially hyperbolic horseshoes ⋮ Existence, uniqueness and stability of equilibrium states for non-uniformly expanding maps ⋮ Maximizing entropy measures for random dynamical systems ⋮ Non-lacunary Gibbs measures for certain fractal repellers ⋮ Equilibrium states for natural extensions of non-uniformly expanding local homeomorphisms ⋮ Expanding measure has nonuniform specification property on random dynamical system

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