Statistic of the winding of geodesics on a Riemann surface with finite area and constant negative curvature

DOI10.4171/RMI/225zbMath0907.58054OpenAlexW2003439369MaRDI QIDQ1382011

Yves Le Jan, Nathanaël Enriquez

Publication date: 4 March 1999

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/39538

zbMATH Keywords

geodesicsstochastic integrationhyperbolic surfacescuspsCauchy distributionsasymptotic winding

Mathematics Subject Classification ID

Probability distributions: general theory (60E05) Geodesic flows in symplectic geometry and contact geometry (53D25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items (6)

Asymptotic windings of horocycles ⋮ Multiple Borel-Cantelli lemma in dynamics and multilog law for recurrence ⋮ Temporal distributional limit theorems for dynamical systems ⋮ Asymptotic windings over the trefoil knot ⋮ Homologie des géodésiques fermées sur des variétés hyperboliques avec bouts cuspidaux ⋮ Asymptotic laws for geodesic homology on hyperbolic manifolds with cusps

This page was built for publication: Statistic of the winding of geodesics on a Riemann surface with finite area and constant negative curvature