Equidistribution des horocycles d'une surface géométriquement finie

2003/06/17 by Barbara Schapira, Schapira, Barbara
Mathematics · #37A99 #37D40 #Dynamical Systems (math.DS) #FOS: Mathematics #History and Theory of Mathematics #math.DS #msc:37A99 #msc:37D40

paper · pdf · doi:10.48550/arxiv.math/0306258

14 pages, 1 figure, in french

arxiv created 2003/06/17 · openalex publication_date 2003/06/17 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this work, we show equidistribution properties for the horocycles of a geometrically finite surface with variable negative curvature. If the surface is hyperbolic, we deduce an equidistribution result for the orbits of the horocyclic flow, when the surface has infinite volume.

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