Add to ORKGInternational audienceWe prove that, for $C^1$-generic diffeomorphisms, if a homoclinic class is not hyperbolic, then there is a non-hyperbolic ergodic measure supported on it. This proves a conjecture by D\'iaz and Gorodetski [28]. We also discuss the conjectured existence of periodic points with different stable dimension in the class
International audienceGorodetski et al. [Nonremovability of zero Lyapunov exponents. Funktsional. An...
International audienceGorodetski et al. [Nonremovability of zero Lyapunov exponents. Funktsional. An...
We prove that for C-1 generic diffeomorphisms, every isolated compact invariant set Lambda which sat...
We study the ergodic theory of non-conservative C^1-generic diffeomorphisms. First, we show that hom...
We study the ergodic theory of non-conservative C^1-generic diffeomorphisms. First, we show that hom...
International audienceIn this paper, we give a precise meaning to the following fact, and we prove i...
International audienceIn this paper, we give a precise meaning to the following fact, and we prove i...
The works of Liao, Marie, Franks, Aoki, and Hayashi characterized a lack of hyperbolicity for diffeo...
International audienceIn this paper, we give a precise meaning to the following fact, and we prove i...
We show that, for Cl-generic diffeornorphisms, every chain recurrent class C that has a partially hy...
We study the ergodic theory of non-conservative C^1-generic diffeomorphisms. First, we show that hom...
The dynamics of a diffeomorphism of a compact manifold concentrates essentially on the chain recurre...
Abstract. We give a description of ergodic components of SRB measures in terms of ergodic homoclinic...
La dynamique d'un difféomorphisme d'une variété compacte est essentiellement concentrée sur l'ensemb...
Abstract. We prove that if a diffeomorphism on a compact manifold pre-serves a nonatomic ergodic hyp...
International audienceGorodetski et al. [Nonremovability of zero Lyapunov exponents. Funktsional. An...
International audienceGorodetski et al. [Nonremovability of zero Lyapunov exponents. Funktsional. An...
We prove that for C-1 generic diffeomorphisms, every isolated compact invariant set Lambda which sat...
We study the ergodic theory of non-conservative C^1-generic diffeomorphisms. First, we show that hom...
We study the ergodic theory of non-conservative C^1-generic diffeomorphisms. First, we show that hom...
International audienceIn this paper, we give a precise meaning to the following fact, and we prove i...
International audienceIn this paper, we give a precise meaning to the following fact, and we prove i...
The works of Liao, Marie, Franks, Aoki, and Hayashi characterized a lack of hyperbolicity for diffeo...
International audienceIn this paper, we give a precise meaning to the following fact, and we prove i...
We show that, for Cl-generic diffeornorphisms, every chain recurrent class C that has a partially hy...
We study the ergodic theory of non-conservative C^1-generic diffeomorphisms. First, we show that hom...
The dynamics of a diffeomorphism of a compact manifold concentrates essentially on the chain recurre...
Abstract. We give a description of ergodic components of SRB measures in terms of ergodic homoclinic...
La dynamique d'un difféomorphisme d'une variété compacte est essentiellement concentrée sur l'ensemb...
Abstract. We prove that if a diffeomorphism on a compact manifold pre-serves a nonatomic ergodic hyp...
International audienceGorodetski et al. [Nonremovability of zero Lyapunov exponents. Funktsional. An...
International audienceGorodetski et al. [Nonremovability of zero Lyapunov exponents. Funktsional. An...
We prove that for C-1 generic diffeomorphisms, every isolated compact invariant set Lambda which sat...