18 citations · 142 across the 46 of their papers we have counts for
4 papers · 2 filters
Projective transformations of rotation sets
François Béguin, Sylvain Crovisier, Frédéric Le Roux
We give a new proof and extend a result of J. Kwapisz: whenever a set C is realized as the rotation set of some torus homeomorphism, the image of C under certain projective transfo…
density of stable ergodicity
A. Avila, S. Crovisier, A. Wilkinson
We prove a version of a conjecture by Pugh and Shub: among partially hyperbolic volume-preserving diffeomorphisms, , the stably ergodic ones are -dense. To es…
Finiteness of partially hyperbolic attractors with one-dimensional center
Sylvain Crovisier, Rafael Potrie, Martín Sambarino
We prove that the set of diffeomorphisms having at most finitely many attractors contains a dense and open subset of the space of partially hyperbolic diffeomorphisms with on…
Homoclinic tangencies and singular hyperbolicity for three-dimensional vector fields
Sylvain Crovisier, Dawei Yang
We prove that any vector field on a three-dimensional compact manifold can be approximated in the C1-topology by one which is singular hyperbolic or by one which exhibits a homocli…