International audienceIn this paper, we study transitive partially hyperbolic diffeomorphisms with one-dimensional topologically neutral center, meaning that the length of the iterate of small center segments remains small. Such systems are dynamically coherent. We show that there exists a continuous metric along the center foliation which is invariant under the dynamics. As an application, we classify the transitive partially hyperbolic diffeomorphisms on 3-manifolds with topologically neutral center
ABSTRACT. In this paper we give the first example of a non-dynamically coherent partially hyperbolic...
There is a slight disparity in smooth ergodic theory, between Pesin the-ory and the Pugh-Shub partia...
In this paper we construct some "pathological'' volume preserving partially hyperbolic diffeomorphis...
International audienceIn this paper, we study transitive partially hyperbolic diffeomorphisms with o...
The thesis classifies partially hyperbolic diffeomorphisms with a compact center foliation with fini...
International audienceWe show that a partially hyperbolic $C^1$-diffeomorphism $f : M \to M$ with a ...
We explore new connections between the dynamics of conservative partially hyperbolic systems and the...
Abstract. We show that partially hyperbolic diffeomorphisms of the 3-torus are dynamically coherent....
Abstract. We present the first known non-trivial topological ob-structions to the existence of parti...
International audienceWe consider compact sets which are invariant and partially hyperbolic under th...
Let M be a closed 3-manifold that supports a partially hyperbolic diffeomorphism f. If $\pi_1(M)$ is...
AbstractThe known examples of transitive partially hyperbolic diffeomorphisms on 3-manifolds belong ...
According to the work of Dennis Sullivan, there exists a smooth flow on the 5-sphere all of whose or...
28 pages, 4 figuresInternational audienceWe prove that the set of diffeomorphisms having at most fin...
Abstract. These are notes for a minicourse given at UFRJ in the conference “A week on dynamical syst...
ABSTRACT. In this paper we give the first example of a non-dynamically coherent partially hyperbolic...
There is a slight disparity in smooth ergodic theory, between Pesin the-ory and the Pugh-Shub partia...
In this paper we construct some "pathological'' volume preserving partially hyperbolic diffeomorphis...
International audienceIn this paper, we study transitive partially hyperbolic diffeomorphisms with o...
The thesis classifies partially hyperbolic diffeomorphisms with a compact center foliation with fini...
International audienceWe show that a partially hyperbolic $C^1$-diffeomorphism $f : M \to M$ with a ...
We explore new connections between the dynamics of conservative partially hyperbolic systems and the...
Abstract. We show that partially hyperbolic diffeomorphisms of the 3-torus are dynamically coherent....
Abstract. We present the first known non-trivial topological ob-structions to the existence of parti...
International audienceWe consider compact sets which are invariant and partially hyperbolic under th...
Let M be a closed 3-manifold that supports a partially hyperbolic diffeomorphism f. If $\pi_1(M)$ is...
AbstractThe known examples of transitive partially hyperbolic diffeomorphisms on 3-manifolds belong ...
According to the work of Dennis Sullivan, there exists a smooth flow on the 5-sphere all of whose or...
28 pages, 4 figuresInternational audienceWe prove that the set of diffeomorphisms having at most fin...
Abstract. These are notes for a minicourse given at UFRJ in the conference “A week on dynamical syst...
ABSTRACT. In this paper we give the first example of a non-dynamically coherent partially hyperbolic...
There is a slight disparity in smooth ergodic theory, between Pesin the-ory and the Pugh-Shub partia...
In this paper we construct some "pathological'' volume preserving partially hyperbolic diffeomorphis...