Ergodic optimization of super-continuous functions on shift spaces

DOI10.1017/S0143385711000629zbMath1276.37017arXiv1101.2706OpenAlexW2107388628MaRDI QIDQ4911059

Anthony N. Quas, Jason Siefken

Publication date: 13 March 2013

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

Full work available at URL: https://arxiv.org/abs/1101.2706

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25)

Related Items (10)

Ground states are generically a periodic orbit ⋮ Uncountably many maximizing measures for a dense subset of continuous functions ⋮ A note on the marginal instability rates of two-dimensional linear cocycles ⋮ Compactness of transfer operators and spectral representation of Ruelle zeta functions for super-continuous functions ⋮ On the prevalence of the periodicity of maximizing measures ⋮ Ergodic optimization for hyperbolic flows and Lorenz attractors ⋮ Computability at zero temperature ⋮ Lyapunov optimization for non-generic one-dimensional expanding Markov maps ⋮ Ergodic optimization in dynamical systems ⋮ Prevalent uniqueness in ergodic optimisation

Cites Work

• The fish has no bones
• Ergodic optimization
• La condition de Walters
• Lyapunov minimizing measures for expanding maps of the circle
• Optimal orbits of hyperbolic systems

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