Bowen’s equation in the non-uniform setting

DOI10.1017/S0143385710000362zbMath1230.37033arXiv0908.4126OpenAlexW2115019516MaRDI QIDQ3018657

Vaughn Climenhaga

Publication date: 27 July 2011

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

Full work available at URL: https://arxiv.org/abs/0908.4126

zbMATH Keywords

Hausdorff dimensiontopological pressureconformal continuous mapping

Mathematics Subject Classification ID

Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Dimension theory of smooth dynamical systems (37C45)

Related Items (19)

Inverse pressure for finitely generated semigroups ⋮ Multifractal formalism for Benedicks–Carleson quadratic maps ⋮ The thermodynamic approach to multifractal analysis ⋮ Bowen’s equations for upper metric mean dimension with potential ⋮ Topological pressure of free semigroup actions for non-compact sets and Bowen's equation. I ⋮ Topological pressure of free semigroup actions for non-compact sets and Bowen's equation. II ⋮ Infinite non-conformal iterated function systems ⋮ Dimension estimates in non-conformal setting ⋮ Q-entropy for general topological dynamical systems ⋮ Variational principles for the topological pressure of measurable potentials ⋮ Nonadditive measure-theoretic pressure and applications to dimensions of an ergodic measure ⋮ Dimensions of \(C^1\)-average conformal hyperbolic sets ⋮ Measure theoretic pressure and dimension formula for non-ergodic measures ⋮ Irregular sets, the $𝛽$-transformation and the almost specification property ⋮ Equilibrium states in dynamical systems via geometric measure theory ⋮ Multifractal analysis of geodesic flows on surfaces without focal points ⋮ Unstable entropies and dimension theory of partially hyperbolic systems ⋮ Symbolic dynamics: entropy = dimension = complexity ⋮ Multifractal spectrum of quotients of Birkhoff averages for a family of quadratic maps

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