18 citations · 142 across the 46 of their papers we have counts for
3 papers · 1 filter
Centralizers of C^1-generic diffeomorphisms
Christian Bonatti, Sylvain Crovisier, Amie Wilkinson
On the one hand, we prove that the spaces of C^1 symplectomorphisms and of C^1 volume-preserving diffeomorphisms both contain residual subsets of diffeomorphisms whose centralizers…
Construction of curious minimal uniquely ergodic homeomorphisms on manifolds: the Denjoy-Rees technique
François Béguin, Sylvain Crovisier, Frédéric Le Roux
Mary Rees has constructed a minimal homeomorphism of the 2-torus with positive topological entropy. This homeomorphism f is obtained by enriching the dynamics of an irrational rota…
Birth of homoclinic intersections: a model for the central dynamics of partially hyperbolic systems
Sylvain Crovisier
We prove a conjecture of J. Palis: any diffeomorphism of a compact manifold can be C1-approximated by a Morse-Smale diffeomorphism or by a diffeomorphism having a transverse homocl…