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math.DS2026
On the non-expansiveness of the geodesic flow on surfaces with cusps
Sergi Burniol Clotet, Françoise Dal'Bo
We exhibit orbits of the geodesic flow on a hyperbolic surface with at least one cusp such that every tubular neighborhood contains uncountably many distinct geodesic flow orbits.…
math.DS2026
Bellis strong stable sets on infinite hyperbolic surfaces
Sergi Burniol Clotet, Françoise Dal'Bo, Sergio Herrero Vila
We provide a corrected proof of a theorem of A. Bellis on strong stable sets in the unit tangent bundle of certain hyperbolic surfaces. The theorem states that, for vectors whose g…