surface diffeomorphisms with no maximal entropy measure

DOI10.1017/etds.2013.25zbMath1348.37025arXiv1205.4096OpenAlexW2963474692MaRDI QIDQ2934231

Jérôme Buzzi

Publication date: 12 December 2014

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

Full work available at URL: https://arxiv.org/abs/1205.4096

Mathematics Subject Classification ID

Topological entropy (37B40) Symbolic dynamics (37B10) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Related Items (12)

On the number of ergodic measures of maximal entropy for partially hyperbolic diffeomorphisms with compact center leaves ⋮ Ergodic optimization for some dynamical systems beyond uniform hyperbolicity ⋮ A convex analysis approach to entropy functions, variational principles and equilibrium states ⋮ The entropy of 𝐶¹-diffeomorphisms without a dominated splitting ⋮ Asymptotich-expansiveness rate ofC^∞maps ⋮ Jumps of entropy for C^rinterval maps ⋮ Maximal measure and entropic continuity of Lyapunov exponents for \({\mathcal{C}}^r\) surface diffeomorphisms with large entropy ⋮ Unstable pressure and u-equilibrium states for partially hyperbolic diffeomorphisms ⋮ Uniqueness of the measure of maximal entropy for the standard map ⋮ Measures of maximal entropy for surface diffeomorphisms ⋮ Continuity properties of Lyapunov exponents for surface diffeomorphisms ⋮ Unstable entropy in smooth ergodic theory ^*

Cites Work

• Unnamed Item
• Large entropy implies existence of a maximal entropy measure for interval maps
• Volume growth and entropy
• Continuity properties of entropy
• Lyapunov exponents, entropy and periodic orbits for diffeomorphisms
• Ergodic theory on compact spaces
• Intrinsic ergodicity of smooth interval maps
• Mixing \(C^r\) maps of the interval without maximal measure.
• Entropy-expansiveness for partially hyperbolic diffeomorphisms
• Maximal entropy measures for piecewise affine surface homeomorphisms
• Symbolic dynamics for surface diffeomorphisms with positive entropy

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