A characterization of harmonic measures on laminations by hyperbolic Riemann surfaces
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Publication:731718
DOI10.1214/07-AIHP147zbMath1189.37033arXivmath/0611235MaRDI QIDQ731718
Matilde Martínez, Yu. Yu. Bakhtin
Publication date: 8 October 2009
Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0611235
Brownian motion (60J65) Diffusion processes and stochastic analysis on manifolds (58J65) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)
Related Items (11)
Patterson-Sullivan-type measures on Riccati foliations with quasi-Fuchsian holonomy ⋮ Gibbs \(u\)-states for the foliated geodesic flow and transverse invariant measures ⋮ The dichotomy of harmonic measures of compact hyperbolic laminations ⋮ Unique ergodicity of the horocycle flow on Riemannnian foliations ⋮ Low-dimensional solenoidal manifolds ⋮ Harmonic and invariant measures on foliated spaces ⋮ Gibbs measures for foliated bundles with negatively curved leaves ⋮ Physical measures for the geodesic flow tangent to a transversally conformal foliation ⋮ Weak form of equidistribution theorem for harmonic measures of foliations by hyperbolic surfaces ⋮ Harmonic measures and the foliated geodesic flow for foliations with negatively curved leaves ⋮ Foliated hyperbolicity and foliations with hyperbolic leaves
Cites Work
- Foliations, the ergodic theorem and Brownian motion
- Brownian motion and harmonic functions on rotationally symmetric manifolds
- The harmonic measures of Lucy Garnett
- Random conformal dynamical systems
- Uniformization of surface laminations
- Measures on hyperbolic surface laminations
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