Geodesic
Stable ergodicity of certain linear automorphisms of the torus
Federico Rodriguez Hertz1
1 IMPA, 22460-32 Rio de Janeiro, Brasil and IMER, 11300 Montevideo, Uruguay
Annals of mathematics, Tome 162 (2005) no. 1, pp. 65-107.

Voir la notice de l'article provenant de la source Annals of Mathematics website

We find a class of ergodic linear automorphisms of $\mathbb{T}^N$ that are stably ergodic. This class includes all non-Anosov ergodic automorphisms when $N=4$. As a corollary, we obtain the fact that all ergodic linear automorphism of $\mathbb{T}^N$ are stably ergodic when $N\leq 5$.
DOI : 10.4007/annals.2005.162.65

Federico Rodriguez Hertz 1

1 IMPA, 22460-32 Rio de Janeiro, Brasil and IMER, 11300 Montevideo, Uruguay 
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Federico Rodriguez Hertz. Stable ergodicity of certain linear automorphisms of the torus. Annals of mathematics, Tome 162 (2005) no. 1, pp. 65-107. doi : 10.4007/annals.2005.162.65. http://geodesic.mathdoc.fr/articles/10.4007/annals.2005.162.65/

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