Logarithm laws for strong unstable foliations in negative curvature and non-Archimedian Diophantine approximation

DOI10.4171/GGD/226zbMath1347.37065arXiv1205.4515OpenAlexW2963620026MaRDI QIDQ399405

Frédéric Paulin, Jayadev S. Athreya

Publication date: 19 August 2014

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.4515

zbMATH Keywords

Diophantine approximationgeodesic flownegative curvaturecontinued fractionapproximation exponenthorocyclic flowstrong unstable foliation

Mathematics Subject Classification ID

Continued fractions and generalizations (11J70) Geodesic flows in symplectic geometry and contact geometry (53D25) Linear algebraic groups over local fields and their integers (20G25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Approximation in non-Archimedean valuations (11J61)

Related Items (2)

Logarithm laws for unipotent flows. II. ⋮ Diophantine approximation, large intersections and geodesics in negative curvature

Cites Work

• Ultrametric logarithm laws. II
• Ultrametric logarithm laws. I
• Geometrical finiteness with variable negative curvature
• Logarithm laws for unipotent flows. I.
• Cusp excursions on parameter spaces
• Remarques sur le spectre des longueurs d'une surface et comptages
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