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| HAL : hal-00614548, version 3 |
| arXiv : 1108.2767 |
| Fiche détaillée |  Récupérer au format |
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| Versions disponibles : | v1 (13-08-2011) | v2 (25-11-2011) | v3 (20-01-2012) |
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| Around King's Rank-One theorems: Flows and Z^n-actions |
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| Élise Janvresse 1Thierry De La Rue 1 |
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| (12/08/2011) |
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| We study the generalizations of Jonathan King's rank-one theorems (Weak-Closure Theorem and rigidity of factors) to the case of rank-one R-actions (flows) and rank-one Z^n-actions. We prove that these results remain valid in the case of rank-one flows. In the case of rank-one Z^n actions, where counterexamples have already been given, we prove partial Weak-Closure Theorem and partial rigidity of factors. |
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| 1 : | Laboratoire de Mathématiques Raphaël Salem (LMRS) |
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CNRS : UMR6085 – Université de Rouen |
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| 2 : | Faculty of Mechanics and Mathematics |
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Moscow State University |
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| Domaine | : | Mathématiques/Probabilités Mathématiques/Systèmes dynamiques |
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| Rank-one actions – Weak Closure Theorem – Factors – Joinings |
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| hal-00614548, version 3 | |
| http://hal.archives-ouvertes.fr/hal-00614548 | |
| oai:hal.archives-ouvertes.fr:hal-00614548 | |
| Contributeur : Thierry De La Rue | |
| Soumis le : Vendredi 20 Janvier 2012, 14:35:50 | |
| Dernière modification le : Vendredi 20 Janvier 2012, 18:36:24 | |
