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Sur l’inexistence d’ensembles minimaux pour le flot horocyclique

Sur l’inexistence d’ensembles minimaux pour le flot horocyclique

The topological dynamics of the horocycle flow h ℝ on the unitary tangent bundle of a geometrically finite surface S is well known. In particular in this case a h ℝ -minimal set exists always. When the surface is geometrically infinite, the behaviour of this flow depends on the action …