scientific article

zbMath1109.37028arXivmath/0511599MaRDI QIDQ3430920

Samuel Senti, Ya. B. Pesin

Publication date: 5 April 2007

Full work available at URL: https://arxiv.org/abs/math/0511599

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zbMATH Keywords

thermodynamic formalismequilibrium measureGibbs measuresunimodal maps

Mathematics Subject Classification ID

Dynamical systems involving maps of the circle (37E10) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Dynamical systems involving maps of the interval (37E05)

Related Items (11)

Statistical properties of topological Collet–Eckmann maps ⋮ Yet another induction scheme for non-uniformly expanding transformations ⋮ Symbolic dynamics for one dimensional maps with nonuniform expansion ⋮ Inducing schemes with finite weighted complexity ⋮ Thermodynamics of the Katok map ⋮ Expanding measures ⋮ 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 ⋮ Phase transitions for uniformly expanding maps ⋮ Renormalisation-induced phase transitions for unimodal maps ⋮ Thermodynamics of towers of hyperbolic type

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