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| HAL : hal-00619095, version 1 |
| Fiche détaillée |  Récupérer au format |
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| Ergodic properties of Viana-like maps with singularities in the base dynamics |
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| Jose Ferreira Alves 1Daniel Schnellmann 2 |
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| (05/09/2011) |
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| We consider two examples of Viana maps for which the base dynamics has singularities (discontinuities or critical points) and show the existence of a unique absolutely continuous invariant probability measure and related ergodic properties such as stretched exponential decay of correlations and stretched exponential large deviations. |
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| 1 : | Universidade do Porto |
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Université de Porto |
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| 2 : | Département de Mathématiques et Applications (DMA) |
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CNRS : UMR8553 – Ecole normale supérieure de Paris - ENS Paris |
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| Domaine | : | Mathématiques/Systèmes dynamiques |
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| Almost Sure Invariance Principle – Berry-Esseen Theorem – Central Limit Theorem – Decay of Correlations – Large Deviations – Local Limit Theorem – Viana maps |
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| Liste des fichiers attachés à ce document : | ||||||||||
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| hal-00619095, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00619095 | |
| oai:hal.archives-ouvertes.fr:hal-00619095 | |
| Contributeur : Daniel Schnellmann | |
| Soumis le : Lundi 5 Septembre 2011, 13:12:20 | |
| Dernière modification le : Lundi 5 Septembre 2011, 14:21:37 | |
