An uncountable family of pairwise non-Kakutani equivalent smooth diffeomorphisms
Résumé
We construct an uncountable family of smooth ergodic zero-entropy di ffeomorphisms that are pairwise non-Kakutani equivalent, on any smooth compact connected manifold of dimension greater than two, on which there exists an effective smooth circle action preserving a positive smooth volume. To that end, we first construct a smooth ergodic zero-entropy and non-Loosely Bernoulli di ffeomorphism, by suitably modifying a smooth construction by Anosov and Katok. A construction of this kind was announced by Katok in 1977 and 1980.
Domaines
Systèmes dynamiques [math.DS]| Origine | Fichiers produits par l'(les) auteur(s) |
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