Recurrence and genericity
Abstract
We prove a C1-connecting lemma for pseudo-orbits of diffeomorphisms on compact manifolds. We explore some consequences for C1-generic diffeomorphisms. For instance, C1-generic conservative diffeomorphisms are transitive. <br> Nous montrons un lemme de connexion C1 pour les pseudo-orbites des diffeomorphismes des varietes compactes. Nous explorons alors les consequences pour les diffeomorphismes C1-generiques. Par exemple, les diffeomorphismes conservatifs C1-generiques sont transitifs.
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