2 papers
math.GT2025
Recurrent and irregular orbits of the horocyclic flow on the unit tangent bundle of the untwisted flute
Amadou Sy
The aim of this article is to show that if there exists an infinite quasi-minimizing ray which do not intersect any closed geodesic on the surface …
math.DS2025
On the closure of irregular orbits of the horocyclic flow on infinite finness
Amadou Sy, Masseye Gaye
The topological dynamics of the horocyclic flow h_R on the unit tangent bundle of a geometrically finite hyperbolic surface is well known. In particular on such a surface the flow…