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| HAL : hal-00121522, version 2 |
| arXiv : math/0612617 |
| Fiche détaillée |  Récupérer au format |
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| Asterisque 325 (2009) viii+139 pp. ISBN: 978-2-85629-266-2 |
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| Versions disponibles : | v1 (20-12-2006) | v2 (23-11-2009) |
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| Coarse expanding conformal dynamics |
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| Peter Haïssinsky 1Kevin Pilgrim 2 |
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| (2009) |
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| Building on the dictionary between Kleinian groups and rational maps, we establish new connections between the theories of hyperbolic groups and certain iterated maps, regarded as dynamical systems. In order to make the exposition self-contained to researchers in many fields, we include detailed proofs and ample background. |
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| 1 : | Laboratoire d'Analyse, Topologie, Probabilités (LATP) |
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CNRS : UMR6632 – Université de Provence - Aix-Marseille I – Université Paul Cézanne - Aix-Marseille III |
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| 2 : | Dept. of Mathematics |
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Indiana University |
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| Domaine | : | Mathématiques/Systèmes dynamiques |
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| analysis on metric spaces – quasisymmetric map – conformal gauge – rational map – Kleinian group – dictionary – Gromov hyperbolic – entropy |
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| Liste des fichiers attachés à ce document : | ||||||||||
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| hal-00121522, version 2 | |
| http://hal.archives-ouvertes.fr/hal-00121522 | |
| oai:hal.archives-ouvertes.fr:hal-00121522 | |
| Contributeur : Peter Haissinsky | |
| Soumis le : Vendredi 20 Novembre 2009, 12:07:24 | |
| Dernière modification le : Samedi 30 Octobre 2010, 09:56:57 | |
