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| HAL : hal-00463790, version 1 |
| DOI : 10.1007/s11511-007-0020-1 |
| Fiche détaillée |  Récupérer au format |
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| Acta Mathematica 199, 2 (2007) 199-262 |
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| Sur la dynamique unidimensionnelle en régularité intermédiaire |
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| Bertrand Deroin 1Victor Kleptsyn 2 |
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| (2007) |
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| Using probabilistic methods, we prove new rigidity results for groups and pseudo-groups of diffeomorphisms of one dimensional manifolds with intermediate regularity class (i.e. between C 1 and C 2). In particular, we show some generalizations of Denjoy theorem and the classical Kopell lemma for abelian groups. These techniques are also applied to the study of codimension-1 foliations. For instance, we obtain several generalized versions of Sacksteder theorem in class C 1. We conclude with some remarks about the stationary measure. |
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| 1 : | Laboratoire de Mathématiques d'Orsay (LM-Orsay) |
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CNRS : UMR8628 – Université Paris XI - Paris Sud |
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| 2 : | Institut de Recherche Mathématique de Rennes (IRMAR) |
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CNRS : UMR6625 – Université de Rennes 1 – École normale supérieure de Cachan - ENS Cachan – Institut National des Sciences Appliquées (INSA) : - RENNES – Université de Rennes II - Haute Bretagne |
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| 3 : | University of Santiago, Chile |
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University of Santiago, Chile |
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| Domaine | : | Mathématiques/Probabilités |
| hal-00463790, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00463790 | |
| oai:hal.archives-ouvertes.fr:hal-00463790 | |
| Contributeur : Maryse Collin | |
| Soumis le : Lundi 15 Mars 2010, 10:28:23 | |
| Dernière modification le : Lundi 15 Mars 2010, 10:28:23 | |
