Angular self-intersections for closed geodesics on surfaces

DOI10.1090/S0002-9939-05-08382-6zbMath1085.37027OpenAlexW1977089617MaRDI QIDQ5705551

Richard Sharp, Mark Pollicott

Publication date: 9 November 2005

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-05-08382-6

zbMATH Keywords

invariant measuregeodesic flowclosed geodesicself-intersection

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Periodic orbits of vector fields and flows (37C27) Orbit growth in dynamical systems (37C35) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items (5)

Counting curves in hyperbolic surfaces ⋮ An arithmetic property of the set of angles between closed geodesics on hyperbolic surfaces of finite type ⋮ Intersecting geodesics on the modular surface ⋮ Closed geodesics with prescribed intersection numbers ⋮ Statistical regularities of self-intersection counts for geodesics on negatively curved surfaces

Cites Work

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• Zur analytischen Theorie hyperbolischer Raumformen und Bewegungsgruppen
• Zur analytischen Theorie hyperbolischer Raumformen und Bewegungsgruppen. II
• Geodesics with bounded intersection number on surfaces are sparsely distributed
• Asymptotic distribution of closed geodesics
• The geometry of Teichmüller space via geodesic currents
• Bouts des variétés hyperboliques de dimension 3. (Ends of hyperbolic 3-dimensional manifolds)
• Large deviations, averaging and periodic orbits of dynamical systems
• Exponential error terms for growth functions on negatively curved surfaces

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