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| HAL : hal-00290127, version 2 |
| arXiv : 0806.3915 |
| Fiche détaillée |  Récupérer au format |
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| Versions disponibles : | v1 (24-06-2008) | v2 (03-07-2009) |
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| Harmonic measures versus quasiconformal measures for hyperbolic groups |
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| Sébastien Blachère 1, 2Peter Haïssinsky 1 |
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| (24/06/2008) |
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| We establish a dimension formula for the harmonic measure of a finitely supported and symmetric random walk on a hyperbolic group. We also characterize random walks for which this dimension is maximal. Our approach is based on the Green metric, a metric which provides a geometric point of view on random walks and, in particular, which allows us to interpret harmonic measures as \qc measures on the boundary of the group. |
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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 : | Eurandom |
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Eurandom |
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| Domaine | : | Mathématiques/Probabilités Mathématiques/Géométrie métrique Mathématiques/Théorie des groupes |
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| Hyperbolic groups – random walks on groups – harmonic measures – quasiconformal measures – dimension of a measure – Martin boundary – Brownian motion – Green metric |
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| Liste des fichiers attachés à ce document : | ||||||||||
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| hal-00290127, version 2 | |
| http://hal.archives-ouvertes.fr/hal-00290127 | |
| oai:hal.archives-ouvertes.fr:hal-00290127 | |
| Contributeur : Peter Haissinsky | |
| Soumis le : Vendredi 3 Juillet 2009, 16:12:40 | |
| Dernière modification le : Vendredi 3 Juillet 2009, 16:23:47 | |
