MINIMALITY AND UNIQUE ERGODICITY OF VEECH 1969 TYPE INTERVAL EXCHANGE TRANSFORMATIONS
Résumé
We give conditions for minimality of Z/N Z extensions of a rotation of angle α with one marked point, solving the problem for any prime N : for N = 2, these correspond to the Veech 1969 examples, for which a necessary and sufficient condition was not known yet. We provide also a word combinatorial criterion of minimality valid for general interval exchange transformations, which applies to Z/N Z extensions of any interval exchange transformation with any number of marked points. Then we give a condition for unique ergodicity of these extensions when the initial interval exchange transformation is linearly recurrent and there are one or two marked points.
Domaines
Mathématiques [math]Origine | Fichiers produits par l'(les) auteur(s) |
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