On quasi-invariant transverse measures for the horospherical foliation of a negatively curved manifold

DOI10.1017/S0143385703000166zbMath1115.37028arXivmath/0207043OpenAlexW2096856782MaRDI QIDQ4470174

Barbara Schapira

Publication date: 22 June 2004

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

Full work available at URL: https://arxiv.org/abs/math/0207043

zbMATH Keywords

invariant measuresGibbs measureRadon-Nikodym cocyclehorospherical foliations on regular covers

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items (7)

Geometrical constructions of equilibrium states ⋮ Pressure at infinity and strong positive recurrence in negative curvature ⋮ Measures, annuli and dimensions ⋮ Gibbs measures for foliated bundles with negatively curved leaves ⋮ A short proof of unique ergodicity of horospherical foliations on infinite volume hyperbolic manifolds ⋮ Quantitative properties of convex representations ⋮ Logarithm laws for equilibrium states in negative curvature

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