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Equidistribution des horocycles d'une surface géométriquement finie

Barbara Schapira

math.DSarXiv:math/0306258

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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