Sub-actions for weakly hyperbolic one-dimensional systems

DOI10.1080/1468936031000136126zbMath1042.37028OpenAlexW2085329616MaRDI QIDQ4461047

Rafael Rigão Souza

Publication date: 29 March 2004

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/1468936031000136126

zbMATH Keywords

Hölder functionsmaximizing measuresexpanding maps of an intervalsub-cocycles

Mathematics Subject Classification ID

Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Dynamical systems involving maps of the interval (37E05)

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Cites Work

• Recurrence times and rates of mixing
• The fish has no bones
• Lyapunov minimizing measures for expanding maps of the circle
• Exact bounds for the polynomial decay of correlation, 1/fnoise and the CLT for the equilibrium state of a non-Hölder potential
• Generic properties and problems of minimizing measures of Lagrangian systems