Large deviations for return times in non-rectangle sets for Axiom A diffeomorphisms

DOI10.3934/dcds.2008.22.327zbMath1153.37342arXiv0712.0527OpenAlexW2021761466MaRDI QIDQ945445

Renaud Leplaideur, Benoît Saussol

Publication date: 12 September 2008

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0712.0527

zbMATH Keywords

thermodynamic formalismlarge deviationsreturn times

Mathematics Subject Classification ID

Large deviations (60F10) Ergodic theorems, spectral theory, Markov operators (37A30) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Dimension theory of smooth dynamical systems (37C45) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)

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Estimates for Correlation in Dynamical Systems: From Hölder Continuous Functions to General Observables ⋮ A uniform estimate for rate functions in large deviations ⋮ Large deviation for return times

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