Recurrence and genericity
Dynamical Systems
2015-06-26 v1
Abstract
We prove a C^1-connecting lemma for pseudo-orbits of diffeomorphisms on compact manifolds. We explore some consequences for C^1-generic diffeomorphisms. For instance, C^1-generic conservative diffeomorphisms are transitive. <br> Nous montrons un lemme de connexion C^1 pour les pseudo-orbites des diffeomorphismes des varietes compactes. Nous explorons alors les consequences pour les diffeomorphismes C^1-generiques. Par exemple, les diffeomorphismes conservatifs C^1-generiques sont transitifs.
Keywords
Cite
@article{arxiv.math/0306383,
title = {Recurrence and genericity},
author = {Christian Bonatti and Sylvain Crovisier},
journal= {arXiv preprint arXiv:math/0306383},
year = {2015}
}