Geodesic
The link between the shape of the irrational Aubry-Mather sets and their Lyapunov exponents
Marie-Claude Arnaud1
1 Université d'Avignon et des Pays de Vaucluse<br/>33 rue Louis Pasteur<br/> 84000 Avignon cedex<br/>France
Annals of mathematics, Tome 174 (2011) no. 3, pp. 1571-1601.

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

We consider the irrational Aubry-Mather sets of an exact symplectic monotone $C^1$ twist map of the two-dimensional annulus, introduce for them a notion of “$C^1$-regularity” (related to the notion of Bouligand paratingent cone) and prove that
DOI : 10.4007/annals.2011.174.3.4

Marie-Claude Arnaud 1

1 Université d'Avignon et des Pays de Vaucluse<br/>33 rue Louis Pasteur<br/> 84000 Avignon cedex<br/>France 
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     title = {The link between the shape of   the irrational {Aubry-Mather} sets and their {Lyapunov} exponents},
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Marie-Claude Arnaud. The link between the shape of   the irrational Aubry-Mather sets and their Lyapunov exponents. Annals of mathematics, Tome 174 (2011) no. 3, pp. 1571-1601. doi : 10.4007/annals.2011.174.3.4. http://geodesic.mathdoc.fr/articles/10.4007/annals.2011.174.3.4/

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