Sylvain Crovisier
University of Paris-Sud
Inventiones Mathematicae | 2004
Christian Bonatti; Sylvain Crovisier
Résumé.Nous montrons un lemme de connexion C1 pour les pseudo-orbites des difféomorphismes des variétés compactes. Nous explorons alors les conséquences pour les difféomorphismes C1-génériques. Par exemple, les difféomorphismes conservatifs C1-génériques (d’une variété connexe) sont transitifs. 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 (on connected manifolds) are transitive.
Ergodic Theory and Dynamical Systems | 2007
Flavio Abdenur; Ch. Bonatti; Sylvain Crovisier; Lorenzo Justiniano Díaz Casado; L. Wen
We prove that there is a residual subset
Journal of the European Mathematical Society | 2015
Sylvain Crovisier; Martín Sambarino; Dawei Yang
\mathcal{I}
Publications Mathématiques de l'IHÉS | 2016
Artur Avila; Sylvain Crovisier; Amie Wilkinson
of
Ergodic Theory and Dynamical Systems | 2013
Ch. Bonatti; Sylvain Crovisier; Lorenzo J. Díaz; Nicolas Gourmelon
{\rm Diff}^1({\it M})
Comptes Rendus Mathematique | 2003
Christian Bonatti; Sylvain Crovisier
such that any homoclinic class of a diffeomorphism
arXiv: Dynamical Systems | 2012
Flavio Abdenur; Sylvain Crovisier
f\in \mathcal{I}
Journal of The Institute of Mathematics of Jussieu | 2016
Christian Bonatti; Sylvain Crovisier
having saddles of indices
Transactions of the American Mathematical Society | 2009
François Béguin; Sylvain Crovisier; Tobias Jäger; F. Le Roux
\alpha
Nonlinearity | 2004
François Béguin; Sylvain Crovisier; F. Le Roux; A Patou
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