ON PSEUDO-ROTATIONS OF THE ANNULUS WITH GENERIC ROTATION NUMBER
Résumé
We show that for a Baire generic rotation number α ∈ R/Z, the set of area preserving C ∞-pseudo-rotations of the annulus A with rotation number α equals the closure of the set of area preserving C ∞pseudo-rotations which are smoothly conjugate to the rotation R α. As a corollary, a C ∞-generic area preserving pseudo-rotation of the annulus with a Baire generic rotation number α is weakly mixing.
Domaines
Mathématiques [math]| Origine | Fichiers produits par l'(les) auteur(s) |
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