On cusps and flat tops

DOI10.5802/aif.2858zbMath1361.37032arXiv0801.3815OpenAlexW3124203908MaRDI QIDQ486766

Neil B. Dobbs

Publication date: 16 January 2015

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0801.3815

zbMATH Keywords

Lyapunov exponentabsolutely continuous invariant measuresflat critical pointsinterval dynamicsPesin theory

Mathematics Subject Classification ID

Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Dynamical systems involving maps of the interval (37E05)

Related Items (15)

Invariant measures for interval maps without Lyapunov exponents ⋮ Bernoulli convolutions and 1D dynamics ⋮ Entropy formula and continuity of entropy for piecewise expanding maps ⋮ Equilibrium states, pressure and escape for multimodal maps with holes ⋮ Free Energy and Equilibrium States for Families of Interval Maps ⋮ Geometric pressure for multimodal maps of the interval ⋮ Diabolical entropy ⋮ Thermodynamic formalism for interval maps: inducing schemes ⋮ Thermodynamic formalism for contracting Lorenz flows ⋮ Equivalent characterizations of hyperbolic Hölder potential for interval maps ⋮ Natural equilibrium states for multimodal maps ⋮ Large deviation principle for \(S\)-unimodal maps with flat critical points ⋮ Large deviation principle in one-dimensional dynamics ⋮ Perturbing Misiurewicz parameters in the exponential family ⋮ Pesin theory and equilibrium measures on the interval

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