The distribution of geodesic excursions out the end of a hyperbolic orbifold and approximation with respect to a Fuchsian group

DOI10.1007/s10711-005-9009-0zbMath1090.53069OpenAlexW2088378028MaRDI QIDQ2490386

Andrew Haas

Publication date: 2 May 2006

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10711-005-9009-0

zbMATH Keywords

geodesic flowcontinued fractionshyperbolic surfacesmetric diophantine approximation

Mathematics Subject Classification ID

Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50) Geodesic flows in symplectic geometry and contact geometry (53D25) Metric theory of continued fractions (11K50) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35) Flows on surfaces (37E35)

Related Items

On certain orbits of geodesic flow and \((a,b)\)-continued fractions ⋮ Excursion and return times of a geodesic to a subset of a hyperbolic Riemann surface

Cites Work

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• The distribution of continued fraction approximations
• Disjoint spheres, approximation by imaginary quadratic numbers, and the logarithm law for geodesics
• Diophantine approximation on hyperbolic Riemann surfaces
• Symbolic dynamics for geodesic flows
• Geodesic excursions into cusps in finite-volume hyperbolic manifolds
• Diophantine approximation for negatively curved manifolds
• Representation of ergodic flows
• Approximation by Mediants
• The Markov spectra for Fuchsian groups
• Metrical diophantine approximation for continued fraction like maps of the interval
• Representation of Markoff's binary quadratic forms by geodesics on a perforated torus