JournalsrmiVol. 13, No. 2pp. 377–401

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

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

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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