78 citations · 288 across the 45 of their papers we have counts for
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math.DS2026
Robust transitivity versus trapping regions for partially hyperbolic diffeomorphisms
Sylvain Crovisier, Rafael Potrie
We show that among partially hyperbolic diffeomorphisms with one dimensional center there is a -open and dense subset for which either there is a proper quasi-attractor or bot…
math.DS2026
Exotic codimension one Anosov flows
Sergio Fenley, Kathryn Mann, Rafael Potrie
We construct Anosov flows in certain circle bundles over closed hyperbolic 3-manifolds, producing counterexamples to a conjecture of Verjovsky. Some of these 4-manifolds admit infi…
math.DS2026
Propagation of regularity along unstable manifolds
Thibault Lefeuvre, Rafael Potrie
Let be a flow on a smooth closed connected manifold that preserves and expands a foliation . We establish a theorem of propagation of regularity along the le…