Revista Matemática Iberoamericana


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Volume 13, Issue 2, 1997, pp. 377–401
DOI: 10.4171/RMI/225

Published online: 1997-08-31

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

Nathanaël Enriquez[1] and Yves Le Jan[2]

(1) Université Paris Sud, Orsay, France
(2) Université Paris-Sud, Orsay, France

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.

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Enriquez Nathanaël, Le Jan Yves: Statistic of the winding of geodesics on a Riemann surface with finite area and constant negative curvature. Rev. Mat. Iberoam. 13 (1997), 377-401. doi: 10.4171/RMI/225