Open AccessStatistic of the winding of geodesics on a Riemann surface with finite area and constant negative curvature
Author(s) -
Nathanaël Enriquez,
Yves Le Jan
Publication year - 1997
Publication title -
revista matemática iberoamericana
Language(s) - English
Resource type - Journals
eISSN - 2235-0616
pISSN - 0213-2230
DOI - 10.4171/rmi/225
Subject(s) - constant (computer programming) , geodesic , negative curvature , statistic , constant curvature , mathematics , curvature , surface (topology) , riemann surface , mathematical analysis , riemann hypothesis , physics , geometry , mathematical physics , statistics , computer science , programming language
In this paper we show that the windings of geodesics around the cusps of a Riemann surface of a finite area, behave asymptotically as independent Cauchy variables.
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