Quantitative Pesin theory for Anosov diffeomorphisms and flows

DOI10.1017/etds.2017.25zbMath1404.37062arXiv1610.05547OpenAlexW2532626931MaRDI QIDQ4559433

Sébastien Gouëzel, Latchezar Stoyanov

Publication date: 3 December 2018

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

Full work available at URL: https://arxiv.org/abs/1610.05547

zbMATH Keywords

Pesin theoryOseledets theoremcontact Anosov flows

Mathematics Subject Classification ID

Related Items (7)

A vector-valued almost sure invariance principle for random expanding on average cocycles ⋮ Learning Theory for Dynamical Systems ⋮ Horocycle averages on closed manifolds and transfer operators ⋮ Hölder continuity of the Lyapunov exponents of linear cocycles over hyperbolic maps ⋮ Smooth mixing Anosov flows in dimension three are exponentially mixing ⋮ Transfer operators and limit laws for typical cocycles ⋮ Spectral Properties of Ruelle Transfer Operators for Regular Gibbs Measures and Decay of Correlations for Contact Anosov Flows

Cites Work

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• The Lyapunov exponents of generic volume-preserving and symplectic maps
• Ergodic theory of differentiable dynamical systems
• Smoothness of horocycle foliations
• On contact Anosov flows
• Pinching conditions, linearization and regularity of axiom A flows
• Simplicity of Lyapunov spectra: a sufficient criterion
• Spectra of Ruelle transfer operators for Axiom A flows
• Limit theorems for partially hyperbolic systems
• Lyapunov exponents with multiplicity 1 for deterministic products of matrices
• Lectures on Lyapunov Exponents
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms

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