A dynamical decomposition of the torus into pseudo-circles
Résumé
We build an irrational pseudo-rotation of the 2-torus which is semiconjugate to an irrational rotation of the circle in such a way that all the fibres of the semi-conjugacy are pseudo-circles. The proof uses the well-known 'fast-approximation method' introduced by Anosov and Katok.
Domaines
Systèmes dynamiques [math.DS]| Origine | Fichiers produits par l'(les) auteur(s) |
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