Dynamical Borel-Cantelli lemma for hyperbolic spaces

DOI10.1007/BF02771980zbMath1129.53057WikidataQ124991810 ScholiaQ124991810MaRDI QIDQ2382326

François Maucourant

Publication date: 9 October 2007

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

geodesic flowergodic flowshyperbolic symmetric spaces

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Differential geometry of symmetric spaces (53C35) Geodesic flows in symplectic geometry and contact geometry (53D25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

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Cites Work

• Disjoint spheres, approximation by imaginary quadratic numbers, and the logarithm law for geodesics
• The density at infinity of a discrete group of hyperbolic motions
• Logarithm laws for flows on homogeneous spaces
• Hausdorff dimension of diophantine geodesics in negatively curved manifolds
• Convergence of iterates of a transfer operator, application to dynamical systems and to Markov chains
• Limit theorems for partially hyperbolic systems
• Strong Rigidity of Locally Symmetric Spaces. (AM-78)
• Dynamical Borel-Cantelli lemmas for Gibbs measures
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