Propriétés ergodiques, en mesure infinie, de certains systèmes dynamiques fibrés

DOI10.1017/S0143385700005083zbMath0693.58011OpenAlexW2051788603MaRDI QIDQ3468334

Yves Guivarc'h

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1017/s0143385700005083

zbMATH Keywords

geodesic flowAnosov systemsinfinite invariant measureergodic properties

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Ergodic theory (37A99)

Related Items (18)

Ergodic properties of linear actions of \((2\times 2)\)-matrices ⋮ Bernoulli property for certain skew products over hyperbolic systems ⋮ Asymptotic expansion of correlation functions for \({\mathbb{Z}^d}\) covers of hyperbolic flows ⋮ Flexibility of statistical properties for smooth systems satisfying the central limit theorem ⋮ On–off intermittency and chaotic walks ⋮ Note rectificative : “Asymptotic winding of the geodesic flow on modular surfaces and continuous fractions” ⋮ Empirical measures of partially hyperbolic attractors ⋮ A short proof of ergodicity of Babillot-Ledrappier measures ⋮ Invariant measures and asymptotics for some skew products ⋮ Exposants caractéristiques de l'algorithme de Jacobi-Perron et de la transformation associée. (Characteristic exponents of the Jacobi-Perron algorithm and of the associated map) ⋮ Measurable rigidity of actions on infinite measure homogeneous spaces, II ⋮ A note about topologically transitive cylindrical cascades ⋮ Polynomial Growth, Recurrence and Ergodicity for Random Walks on Locally Compact Groups and Homogeneous Spaces ⋮ On mixing and the local central limit theorem for hyperbolic flows ⋮ Un critère de récurrence pour certains espaces homogènes ⋮ LOCAL LIMIT THEOREMS FOR PARTIAL SUMS OF STATIONARY SEQUENCES GENERATED BY GIBBS–MARKOV MAPS ⋮ Discontinuity of Straightening in Anti-holomorphic Dynamics: I ⋮ Quantitative global-local mixing for accessible skew products

Cites Work

• Unnamed Item
• \(T,T^{-1}\) transformation is not loosely Bernoulli
• Asymptotically Brownian skew products give non-loosely Bernoulli K- automorphisms
• Statistical properties of Lorentz gas with periodic configuration of scatterers
• Smooth non-Bernoulli k-automorphisms
• Mixing properties of a class of skew-products
• Skew products of Bernoulli shifts with rotations. II
• The ergodic theory of axiom A flows
• Marches aléatoires sur les groupes de Lie
• Symbolic Dynamics for Hyperbolic Flows
• Differentiable dynamical systems
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms

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