Add to ORKGWe obtain a dichotomy for $C^1$-generic symplectomorphisms: either all the Lyapunov exponents of almost every point vanish, or the map is partially hyperbolic and ergodic with respect to volume. This completes a program first put forth by Ricardo Ma\~n\'e. A main ingredient in our proof is a generalization to partially hyperbolic invariant sets of the main result in [Dolgopyat-Wilkinson] that stable accessibility is $C^1$ dense among partially hyperbolic diffeomorphisms
We study the ergodic theory of non-conservative C^1-generic diffeomorphisms. First, we show that hom...
International audienceWe present the proof of Berger and Turaev of Herman's positive entropy conject...
autre titre : Stability of existence of non-hyperbolic measures for C^1-diffeomorphisms, Translated ...
We obtain a dichotomy for C 1 $C^1$ -generic symplectomorphisms: either all the Lyapunov exponents o...
58 pages, 11 figures. The long version of "Diffeomorphisms with positive metric entropy" arXiv:1408....
Abstract. We obtain a dichotomy for C1-generic, volume preserving diffeo-morphisms: either all the L...
23 pages, 0 figuresWe prove that for some manifolds $M$ the set of robustly transitive partially hyp...
56 pages, 2 figures. Proofs of the local perturbative tools to appear in a separate paper. Accepted ...
We prove that in the space of all Cr (r 1) partially hyperbolic dieomorphisms, there is a C1 open a...
We prove a $C^1$ version of a conjecture by Pugh and Shub: among partially hyperbolic volume-preserv...
We show that the integrated Lyapunov exponents of C1 volume-preserving diffeomorphisms are simultane...
International audienceWe give explicit $C^1$-open conditions that ensure that a diffeomorphism posse...
We show that the integrated Lyapunov exponents of C1 volume-preserving diffeomorphisms are simultane...
In [23] Xia introduced a simple dynamical density basis for partially hyperbolic sets of volume pres...
We prove that a 'C POT.1' generic symplectic diffeomorphism is either Anosov or its topological entr...
We study the ergodic theory of non-conservative C^1-generic diffeomorphisms. First, we show that hom...
International audienceWe present the proof of Berger and Turaev of Herman's positive entropy conject...
autre titre : Stability of existence of non-hyperbolic measures for C^1-diffeomorphisms, Translated ...
We obtain a dichotomy for C 1 $C^1$ -generic symplectomorphisms: either all the Lyapunov exponents o...
58 pages, 11 figures. The long version of "Diffeomorphisms with positive metric entropy" arXiv:1408....
Abstract. We obtain a dichotomy for C1-generic, volume preserving diffeo-morphisms: either all the L...
23 pages, 0 figuresWe prove that for some manifolds $M$ the set of robustly transitive partially hyp...
56 pages, 2 figures. Proofs of the local perturbative tools to appear in a separate paper. Accepted ...
We prove that in the space of all Cr (r 1) partially hyperbolic dieomorphisms, there is a C1 open a...
We prove a $C^1$ version of a conjecture by Pugh and Shub: among partially hyperbolic volume-preserv...
We show that the integrated Lyapunov exponents of C1 volume-preserving diffeomorphisms are simultane...
International audienceWe give explicit $C^1$-open conditions that ensure that a diffeomorphism posse...
We show that the integrated Lyapunov exponents of C1 volume-preserving diffeomorphisms are simultane...
In [23] Xia introduced a simple dynamical density basis for partially hyperbolic sets of volume pres...
We prove that a 'C POT.1' generic symplectic diffeomorphism is either Anosov or its topological entr...
We study the ergodic theory of non-conservative C^1-generic diffeomorphisms. First, we show that hom...
International audienceWe present the proof of Berger and Turaev of Herman's positive entropy conject...
autre titre : Stability of existence of non-hyperbolic measures for C^1-diffeomorphisms, Translated ...