A large deviations bound for the Teichmüller flow on the moduli space of abelian differentials

DOI10.1017/S0143385710000349zbMath1223.37027arXiv0812.1397OpenAlexW3099015193MaRDI QIDQ3018652

Vítor Araújo, Alexander I. Bufetov

Publication date: 27 July 2011

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

Full work available at URL: https://arxiv.org/abs/0812.1397

zbMATH Keywords

symbolic dynamical systemssuspension flowTeichmüller flow

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25)

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Large deviations and the rate of convergence in the Birkhoff ergodic theorem ⋮ Estimates of the rate of convergence in the von Neumann and Birkhoff ergodic theorems ⋮ Large Deviations of the Ergodic Averages: From Hölder Continuity to Continuity Almost Everywhere ⋮ Large deviations for denominators of continued fractions ⋮ The gluing orbit property, uniform hyperbolicity and large deviations principles for semiflows

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• LECTURES ON THE ENTROPY THEORY OF MEASURE-PRESERVING TRANSFORMATIONS
• Some Large Deviation Results for Dynamical Systems
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms

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