Rotation topological factors of minimal $\ZM^{d}$-actions on the cantor set
| dc.creator | Cortez, Maria Isabel | |
| dc.creator | Gambaudo, Jean-Marc | |
| dc.creator | Maass, Alejandro | |
| dc.date | 2004-05-27 | |
| dc.date | 2004-09-22 | |
| dc.date.accessioned | 2026-07-07T05:08:39Z | |
| dc.date.available | 2026-07-07T05:08:39Z | |
| dc.description | In this paper we study conditions under which a free minimal $\mz^d$-action on the Cantor set is a topological extension of the action of $d$ rotations, either on the product $\mt^d$ of $d$ 1-tori or on a single 1-torus $\mt^1$. We extend the notion of {\it linearly recurrent} systems defined for $\mz$-actions on the Cantor set to $\mz^d$-actions and we derive in this more general setting, a necessary and sufficient condition, which involves natural combinatorial data associated with the action, allowing the existence of a rotation topological factor of one these two types. | |
| dc.description | Added references, changed statement for Theorem 3.1 | |
| dc.identifier | https://arxiv.org/abs/math/0405532 | |
| dc.identifier | http://arxiv.org/abs/math/0405532 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/71351 | |
| dc.subject | Dynamical Systems | |
| dc.subject | 54H20 | |
| dc.title | Rotation topological factors of minimal $\ZM^{d}$-actions on the cantor set | |
| dc.type | text |