Irregular orbits of the horocyclic flow on geometrically infinite hyperbolic surfaces are recurrent or have non-h_R-minimal closures.
Bellis,On the links between horocyclic and geodesic orbits on geometrically infinite sur- feces, Journal de l’École polytechnique Mathématiques, Tome5(2018), 443-454
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R\'ecurrence ou non minimalit\'e des adh\'erences des d'orbites irr\'eguli\'eres du flot horocyclique de finesse infinie
Irregular orbits of the horocyclic flow on geometrically infinite hyperbolic surfaces are recurrent or have non-h_R-minimal closures.