Flattening functions on flowers

DOI10.1017/S0143385707000235zbMath1127.37036arXiv0711.0802OpenAlexW2963293321MaRDI QIDQ5436455

Edmund Harriss, Oliver Jenkinson

Publication date: 16 January 2008

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

Full work available at URL: https://arxiv.org/abs/0711.0802

zbMATH Keywords

invariant measureshyperbolicitycircle mapexpanding mapmaximizing measureorientation-preserving maps

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Dynamical systems involving maps of the circle (37E10) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20)

Related Items (2)

Ergodic optimization in dynamical systems ⋮ Optimization and majorization of invariant measures

Cites Work

• The fish has no bones
• Cohomology classes of dynamically non-negative \(C^ k\) functions.
• Ergodic optimization
• Frequency Locking on the Boundary of the Barycentre Set
• Lyapunov minimizing measures for expanding maps of the circle
• Asymptotic height optimization for topical IFS, Tetris heaps, and the finiteness conjecture
• Dynamics of injective quasi-contractions
• Optimization and majorization of invariant measures
• Ordered orbits of the shift, square roots, and the devil's staircase
• Finite flowers and maximizing measures for generic Lipschitz functions on the circle
• Symbolic Dynamics II. Sturmian Trajectories

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