Equidistribution des horocycles d'une surface géométriquement finie

Details Equidistribution des horocycles d'une surface géométriquement finie Equidistribution des horocycles d'une surface géométriquement finie

2003-06-17

arxiv.org/abs/math/0306258v1

Mathematics

Dynamical Systems

14 pages, 1 figure, in french

Scientific paper

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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