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| HAL : hal-00695572, version 1 |
| DOI : 10.4064/cm125-2-5 |
| Fiche détaillée |  Récupérer au format |
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| Colloquium Mathematicum 125, 2 (2011) 193-212 |
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| Correlation asymptotics from large deviations in dynamical systems with infinite measure |
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| Sébastien Gouëzel 1 |
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| (2011) |
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| We extend a result of Doney [Probab. Theory Related Fields 107 (1997)] on renewal sequences with in nite mean to renewal sequences of operators. As a consequence, we get precise asymptotics for the transfer operator and for correlations in dynamical systems preserving an in nite measure (including intermittent maps with an arbitrarily neutral xed point). |
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| 1 : | 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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| Théorie ergodique |
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| in nite measure – transfer operator – renewal sequences of operators – large deviations |
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| hal-00695572, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00695572 | |
| oai:hal.archives-ouvertes.fr:hal-00695572 | |
| Contributeur : Marie-Annick Guillemer | |
| Soumis le : Mercredi 9 Mai 2012, 11:08:09 | |
| Dernière modification le : Mercredi 9 Mai 2012, 11:08:09 | |
