78 citations · 288 across the 45 of their papers we have counts for
4 papers · 2 filters
Robust transitivity and domination for endomorphisms displaying critical points
C. Lizana, R. Potrie, E. R. Pujals +1
We show that robustly transitive endomorphisms of a closed manifolds must have a non-trivial dominated splitting or be a local diffeomorphism. This allows to get some topological o…
Accessibility and ergodicity for collapsed Anosov flows
Sergio R. Fenley, Rafael Potrie
We consider a class of partially hyperbolic diffeomorphisms introduced in [BFP] which is open and closed and contains all known examples. If in addition the diffeomorphism is non-w…
A remark on uniform expansion
Rafael Potrie
For every there is a measure of finite support contained in which is uniformly expanding.
Partial hyperbolicity and pseudo-Anosov dynamics
Sergio R. Fenley, Rafael Potrie
We show that if a hyperbolic 3-manifold admits a partially hyperbolic diffeomorphism then it also admits an Anosov flow. Moreover, we give a complete classification of partially hy…