Statistic of the winding of geodesics on a Riemann surface with finite area and constant negative curvature
Nathanaël Enriquez
Université Paris Sud, Orsay, FranceYves Le Jan
Université Paris-Sud, Orsay, France
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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.
Cite this article
Nathanaël Enriquez, Yves Le Jan, Statistic of the winding of geodesics on a Riemann surface with finite area and constant negative curvature. Rev. Mat. Iberoam. 13 (1997), no. 2, pp. 377–401
DOI 10.4171/RMI/225