Sur l'ergodicité rationnelle et les propriétés ergodiques du flot géodésique dans les variétés hyperboliques

DOI10.1017/S0143385700000997zbMath0968.37012OpenAlexW2096445753MaRDI QIDQ4761430

Thomas Roblin

Publication date: 21 June 2001

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

Full work available at URL: https://doi.org/10.1017/s0143385700000997

zbMATH Keywords

ergodicityPoincaré seriesgeodesic flowhyperbolic manifoldsrational ergodicityPatterson-Sullivan measuresCAT(\(-1\)) spaces

Mathematics Subject Classification ID

Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

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NATURAL MAPS FOR MEASURABLE COCYCLES OF COMPACT HYPERBOLIC MANIFOLDS ⋮ On the distribution of orbits of geometrically finite hyperbolic groups on the boundary ⋮ Weak rational ergodicity does not imply rational ergodicity ⋮ Distributional limits of positive, ergodic stationary processes and infinite ergodic transformations ⋮ On multiple recurrence and other properties of ‘nice’ infinite measure-preserving transformations ⋮ Horocycle Flows on Surfaces with Infinite Genus ⋮ Ergodicity of generalised Patterson-Sullivan measures in higher rank symmetric spaces ⋮ The decay rate of Patterson-Sullivan measures with potential functions and critical exponents ⋮ Constructing equivariant maps for representations ⋮ Rigidity at infinity for lattices in rank-one Lie groups ⋮ Ergodicity of unipotent flows and Kleinian groups

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