We prove that every robustly transitive and every stably ergodic symplectic diffeomorphism on a compact manifold admits a dominated splitting. In fact, these diffeomorphisms are partially hyperbolic. (c) 2005 Elsevier SAS. All rights reserved
There is a slight disparity in smooth ergodic theory, between Pesin the-ory and the Pugh-Shub partia...
AbstractIn this paper we show that a little hyperbolicity goes a long way toward guaranteeing stable...
Let f : M → M be a diffeomorphism on a closed smooth n(≥ 2) dimensional manifold M. We show that C1 ...
International audienceWe construct examples of robustly transitive and stably ergodic partially hype...
A Riemannian metric is adapted to an hyperbolic set of a diffeomorphism if, for this metric, the exp...
Let M be a closed, symplectic connected Riemannian manifold and f a symplectomorphism on M. We prove...
ABSTRACT. – We show that the Lyapunov exponents of volume preserving C1 diffeomor-phisms of a compac...
Abstract. We present some results and open problems about stable ergodicity of partially hyperbolic ...
We prove that in the space of all Cr (r 1) partially hyperbolic dieomorphisms, there is a C1 open a...
Let M be a closed 3-manifold that supports a partially hyperbolic diffeomorphism f. If $\pi_1(M)$ is...
Abstract. We show that a stably ergodic dieomorphism can be C1 approx-imated by a dieomorphism havin...
We obtain a dichotomy for C 1 $C^1$ -generic symplectomorphisms: either all the Lyapunov exponents o...
Let f be a diffeomorphism of a closed n-dimensional C-infinity manifold, and p be a hyperbolic saddl...
Abstract. These are notes for a minicourse given at UFRJ in the conference “A week on dynamical syst...
If a non-ergodic, partially hyperbolic diffeomorphism on the 3-torus is homotopic to an Anosov diffe...
There is a slight disparity in smooth ergodic theory, between Pesin the-ory and the Pugh-Shub partia...
AbstractIn this paper we show that a little hyperbolicity goes a long way toward guaranteeing stable...
Let f : M → M be a diffeomorphism on a closed smooth n(≥ 2) dimensional manifold M. We show that C1 ...
International audienceWe construct examples of robustly transitive and stably ergodic partially hype...
A Riemannian metric is adapted to an hyperbolic set of a diffeomorphism if, for this metric, the exp...
Let M be a closed, symplectic connected Riemannian manifold and f a symplectomorphism on M. We prove...
ABSTRACT. – We show that the Lyapunov exponents of volume preserving C1 diffeomor-phisms of a compac...
Abstract. We present some results and open problems about stable ergodicity of partially hyperbolic ...
We prove that in the space of all Cr (r 1) partially hyperbolic dieomorphisms, there is a C1 open a...
Let M be a closed 3-manifold that supports a partially hyperbolic diffeomorphism f. If $\pi_1(M)$ is...
Abstract. We show that a stably ergodic dieomorphism can be C1 approx-imated by a dieomorphism havin...
We obtain a dichotomy for C 1 $C^1$ -generic symplectomorphisms: either all the Lyapunov exponents o...
Let f be a diffeomorphism of a closed n-dimensional C-infinity manifold, and p be a hyperbolic saddl...
Abstract. These are notes for a minicourse given at UFRJ in the conference “A week on dynamical syst...
If a non-ergodic, partially hyperbolic diffeomorphism on the 3-torus is homotopic to an Anosov diffe...
There is a slight disparity in smooth ergodic theory, between Pesin the-ory and the Pugh-Shub partia...
AbstractIn this paper we show that a little hyperbolicity goes a long way toward guaranteeing stable...
Let f : M → M be a diffeomorphism on a closed smooth n(≥ 2) dimensional manifold M. We show that C1 ...
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