Equilibrium states for non-uniformly expanding maps

DOI10.1017/S0143385703000257zbMath1051.37013arXivmath/0607347OpenAlexW3106177858MaRDI QIDQ4472772

Krerley Oliveira

Publication date: 1 July 2004

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

Full work available at URL: https://arxiv.org/abs/math/0607347

zbMATH Keywords

entropyequilibrium statesergodic measurenonuniformly expanding maps

Mathematics Subject Classification ID

Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25)

Related Items (11)

Building thermodynamics for non-uniformly hyperbolic maps ⋮ Equilibrium states for expanding Thurston maps ⋮ Weak expansion properties and large deviation principles for expanding Thurston maps ⋮ Equilibrium states for certain partially hyperbolic attractors ⋮ Phase transitions for suspension flows ⋮ Expanding measures ⋮ Thermodynamical formalism for robust classes of potentials and non-uniformly hyperbolic maps ⋮ Every expanding measure has the nonuniform specification property ⋮ Equilibrium states for interval maps: potentials with \(\sup\varphi- \inf\varphi<h_{\mathrm{top}}(f)\) ⋮ Existence, uniqueness and stability of equilibrium states for non-uniformly expanding maps ⋮ Equilibrium states for partially hyperbolic horseshoes

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