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

Nathanaël Enriquez, Yves Le Jan

Type: Article

Publication Date: 1997-08-31

Citations: 13

DOI: https://doi.org/10.4171/rmi/225

Abstract

In this paper we show that the windings of geodesics around the cusps of a Riemann surface of finite area behave asymptotically as independent Cauchy variables.

Locations

Revista Matemática Iberoamericana - View - PDF
Hispana - View - PDF

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Works That Cite This (12)

Action	Title	Year	Authors
+	Asymptotic windings of horocycles	2018	Dmitry Dolgopyat Omri Sarig
+	Winding of geodesic rays chosen by a harmonic measure	2024	Timothée Bénard
+ PDF Chat	Stable windings on hyperbolic surfaces	2001	Nathanaël Enriquez Jacques Franchi Yves Le Jan
+	Enroulements Browniens et Subordination dans les Groupes de Lie	2006	Nathanaël Enriquez Jacques Franchi Yves Le Jan
+ PDF Chat	Homologie des géodésiques fermées sur des variétés hyperboliques avec bouts cuspidaux	2000	Martine Babillot Marc Peigné
+	Enroulements des géodésiques sous la mesure de Patterson-Sullivan	1998	Nathanaël Enriquez Jacques Franchi Yves Le Jan
+ PDF Chat	Asymptotic laws for geodesic homology on hyperbolic manifolds with cusps	2006	Martine Babillot Marc Peigné
+	Central limit theorem for the geodesic flow associated with a Kleinian group, case δ>d/2	2001	Nathanaël Enriquez J. Franchi Y Le Jan
+ PDF Chat	Drift of random walks on abelian covers of finite volume homogeneous spaces	2024	Timothée Bénard
+	Temporal Distributional Limit Theorems for Dynamical Systems	2016	Dmitry Dolgopyat Omri Sarig

Works Cited by This (4)

Action	Title	Year	Authors
+ PDF Chat	Central Limit Theorem in Negative Curvature	1995	François Ledrappier
+ PDF Chat	Disjoint spheres, approximation by imaginary quadratic numbers, and the logarithm law for geodesics	1982	Dennis Sullivan
+	Harmonic 1-forms on the stable foliation	1994	F. Ledrappier
+	Brownian charges around loops	1996	Y. Le Jan J. Franchi