A remark on conservative diffeomorphisms

Jairo Bochi; Bassam R. Fayad; Enrique Pujals

doi:10.1016/j.crma.2006.03.028

Dynamical Systems

A remark on conservative diffeomorphisms
[Une remarque sur les difféomorphismes conservatifs]

Présenté par : Étienne Ghys

Jairo Bochi ¹ ; Bassam R. Fayad ² ; Enrique Pujals ³

¹ Inst. Matemática, UFRGS, Av Bento Gonçalves 9500, 91509-900 Porto Alegre, Brazil
² LAGA, université Paris 13, 99, avenue J.-B. Clément, 93430 Villetaneuse, France
³ IMPA, Estr. D. Castorina 110, 22460-320 Rio de Janeiro, Brazil

Comptes Rendus. Mathématique, Volume 342 (2006) no. 10, pp. 763-766.

Résumé
Abstract

On montre qu'un difféomorphisme stablement ergodique peut être $C^{1}$ approché par un difféomorphisme ayant des exposants de Lyapunov stablement non-nuls.

We show that a stably ergodic diffeomorphism can be $C^{1}$ approximated by a diffeomorphism having stably non-zero Lyapunov exponents.

Reçu le : 2004-08-27
Accepté le : 2006-03-21
Publié le : 2006-04-18

DOI : 10.1016/j.crma.2006.03.028

Affiliations des auteurs :

Jairo Bochi ¹ ; Bassam R. Fayad ² ; Enrique Pujals ³

¹ Inst. Matemática, UFRGS, Av Bento Gonçalves 9500, 91509-900 Porto Alegre, Brazil
² LAGA, université Paris 13, 99, avenue J.-B. Clément, 93430 Villetaneuse, France
³ IMPA, Estr. D. Castorina 110, 22460-320 Rio de Janeiro, Brazil

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Jairo Bochi; Bassam R. Fayad; Enrique Pujals. A remark on conservative diffeomorphisms. Comptes Rendus. Mathématique, Volume 342 (2006) no. 10, pp. 763-766. doi : 10.1016/j.crma.2006.03.028. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2006.03.028/

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