Harmonic measures and the foliated geodesic flow for foliations with negatively curved leaves

DOI10.1017/etds.2014.59zbMath1355.37054arXiv1311.3267OpenAlexW2076295851MaRDI QIDQ2808032

Sébastien Alvarez

Publication date: 26 May 2016

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

Full work available at URL: https://arxiv.org/abs/1311.3267

zbMATH Keywords

foliationgeodesic flowGibbs measureGarnett's harmonic measures

Mathematics Subject Classification ID

Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Foliations (differential geometric aspects) (53C12) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items (7)

Prescribing the curvature of leaves of laminations: revisiting a theorem by Candel ⋮ Singularities for analytic continuations of holonomy germs of Riccati foliations ⋮ Gibbs \(u\)-states for the foliated geodesic flow and transverse invariant measures ⋮ A Fatou theorem for \(F\)-harmonic functions ⋮ Gibbs measures for foliated bundles with negatively curved leaves ⋮ Physical measures for the geodesic flow tangent to a transversally conformal foliation ⋮ Foliated hyperbolicity and foliations with hyperbolic leaves

Cites Work

• Foliations, the ergodic theorem and Brownian motion
• A characterization of harmonic measures on laminations by hyperbolic Riemann surfaces
• The Dirichlet problem at infinity for a negatively curved manifold
• Positive harmonic functions on complete manifolds of negative curvature
• Topology of generic leaves
• Dynamics beyond uniform hyperbolicity. A global geometric and probabilistic perspective
• Ergodic properties of Brownian motion on covers of compact negatively-curve manifolds
• Measures on hyperbolic surface laminations

This page was built for publication: Harmonic measures and the foliated geodesic flow for foliations with negatively curved leaves