Lyapunov optimizing measures for C1 expanding maps of the circle

DOI10.1017/S0143385708000333zbMath1213.37067OpenAlexW1999757486MaRDI QIDQ3548618

Oliver Jenkinson, Ian D. Morris

Publication date: 16 December 2008

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

Full work available at URL: https://doi.org/10.1017/s0143385708000333

zbMATH Keywords

Lyapunov maximizing measuremaps of circle

Mathematics Subject Classification ID

Dynamical systems involving maps of the circle (37E10) Topological entropy (37B40) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05)

Related Items (8)

Ergodic optimization for some dynamical systems beyond uniform hyperbolicity ⋮ Unnamed Item ⋮ Measures with maximum total exponent and generic properties of \(C^1\) expanding maps ⋮ Lyapunov optimization for non-generic one-dimensional expanding Markov maps ⋮ Entropy and maximizing measures of generic continuous functions ⋮ Density of the set of endomorphisms with a maximizing measure supported on a periodic orbit ⋮ Statistical properties of mostly contracting fast-slow partially hyperbolic systems ⋮ Ergodic optimization in dynamical systems

Cites Work

• Unnamed Item
• Continuity properties of entropy
• Cohomology classes of dynamically non-negative \(C^ k\) functions.
• Generic properties of invariant measures for Axiom A diffeomorphisms
• Lyapunov minimizing measures for expanding maps of the circle

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