78 citations · 288 across the 45 of their papers we have counts for
6 papers · 1 filter
Collapsed Anosov flows and self orbit equivalences
Thomas Barthelmé, Sergio R. Fenley, Rafael Potrie
We propose a generalization of the concept of discretized Anosov flows that covers a wide class of partially hyperbolic diffeomorphisms in 3-manifolds, and that we call collapsed A…
Partially hyperbolic diffeomorphisms homotopic to the identity in dimension 3, Part II: Branching foliations
Thomas Barthelmé, Sergio R. Fenley, Steven Frankel +1
We study -dimensional partially hyperbolic diffeomorphisms that are homotopic to the identity, focusing on the geometry and dynamics of Burago and Ivanov's center stable and cen…
Partially hyperbolic dynamics and 3-manifold topology
Rafael Potrie
This is an expository note intended to illustrate current research in topological study of partially hyperbolic diffeomorphisms in dimension 3 with a beautiful result due to Margul…
Dynamical incoherence for a large class of partially hyperbolic diffeomorphisms
Thomas Barthelmé, Sergio Fenley, Steven Frankel +1
We show that if a partially hyperbolic diffeomorphism of a Seifert manifold induces a map in the base which has a pseudo-Anosov component then it cannot be dynamically coherent. Th…
Eigenvalue gaps for hyperbolic groups and semigroups
Fanny Kassel, Rafael Potrie
Given a locally constant linear cocycle over a subshift of finite type, we show that the existence of a uniform gap between the i-th and (i+1)-th Lyapunov exponents for all invaria…
Minimality of the action on the universal circle of uniform foliations
Sergio Fenley, Rafael Potrie
Given a uniform foliation by Gromov hyperbolic leaves on a -manifold, we show that the action of the fundamental group on the universal circle is minimal and transitive on pairs…