no. 10
Dynamical Systems
A remark on conservative diffeomorphisms
[Une remarque sur les difféomorphismes conservatifs]

Présenté par : Étienne Ghys

Bochi, Jairo1 ; Fayad, Bassam R.2 ; Pujals, Enrique3
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, Tome 342 (2006) no. 10, pp. 763-766.

On montre qu'un difféomorphisme stablement ergodique peut être C1 approché par un difféomorphisme ayant des exposants de Lyapunov stablement non-nuls.

We show that a stably ergodic diffeomorphism can be C1 approximated by a diffeomorphism having stably non-zero Lyapunov exponents.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2006.03.028
Bochi, Jairo 1 ; Fayad, Bassam R. 2 ; Pujals, Enrique 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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Bochi, Jairo; Fayad, Bassam R.; Pujals, Enrique. A remark on conservative diffeomorphisms. Comptes Rendus. Mathématique, Tome 342 (2006) no. 10, pp. 763-766. doi : 10.1016/j.crma.2006.03.028. http://www.numdam.org/articles/10.1016/j.crma.2006.03.028/

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