3 citations · 5 across the 6 of their papers we have counts for
6 papers
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.…
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…
Rigidity of the unstable foliation
Sergi Burniol Clotet
We establish a rigidity result for the unstable foliations of transitive Anosov flows on 3-manifolds: if the unstable foliations of two such flows are equivalent (that is, if there…
Unique ergodicity of the horocycle flow of a higher genus compact surface with no conjugate points and continuous Green bundles
Sergi Burniol Clotet
We show that the horocyclic flow of an orientable compact higher genus surface without conjugate points and with continuous Green bundles is uniquely ergodic. The result applies to…
Unique ergodicity of the horocyclic flow on nonpositively curved surfaces
Sergi Burniol Clotet
On the unit tangent bundle of a nonflat compact nonpositively curved surface, we prove that there is a unique probability Borel measure invariant by a horocyclic flow which gives f…
Equidistribution of horospheres in nonpositive curvature
Sergi Burniol Clotet
We study the ergodic properties of horospheres on rank 1 manifolds with non-positive curvature. We prove that the horospheres are equidistributed under the action of the geodesic f…