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. 377–401DOI 10.4171/RMI/225