Geodesic
Weak mixing for interval exchange transformations and translation flows
Artur Ávila1 ; Giovanni Forni2
1 CNRS UMR 7599, Université Pierre et Marie Curie, 75252 Paris, France
2 Department of Mathematics, University of Toronto, Toronto, ON, Canada M5S 2E4
Annals of mathematics, Tome 165 (2007) no. 2, pp. 637-664.

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

We prove that a typical interval exchange transformation is either weakly mixing or it is an irrational rotation. We also conclude that a typical translation flow on a typical translation surface of genus $g \geq 2$ (with prescribed singularity types) is weakly mixing.
DOI : 10.4007/annals.2007.165.637

Artur Ávila 1 ; Giovanni Forni 2

1 CNRS UMR 7599, Université Pierre et Marie Curie, 75252 Paris, France
2 Department of Mathematics, University of Toronto, Toronto, ON, Canada M5S 2E4 
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Artur Ávila; Giovanni Forni. Weak mixing for interval exchange transformations and translation flows. Annals of mathematics, Tome 165 (2007) no. 2, pp. 637-664. doi : 10.4007/annals.2007.165.637. http://geodesic.mathdoc.fr/articles/10.4007/annals.2007.165.637/

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