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| HAL : hal-00018531, version 3 |
| arXiv : math/0602065 |
| DOI : 10.1016/j.spa.2007.07.001 |
| Fiche détaillée |  Récupérer au format |
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| Stochastic Processes and their Applications 118 (2008) 897-916 |
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| Versions disponibles : | v1 (03-02-2006) | v2 (12-01-2007) | v3 (03-07-2008) |
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| Multifractal spectra and precise rates of decay in homogeneous fragmentation. |
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| Nathalie Krell 1 |
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| (2008) |
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| We consider a mass-conservative fragmentation of the unit interval. The main purpose of this work is to specify the Hausdorff dimension of the set of locations having exactly an exponential decay. The study relies on an additive martingale which arises naturally in this setting, and a class of Lévy processes constrained to stay in a finite interval. |
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| 1 : | Laboratoire de Probabilités et Modèles Aléatoires (LPMA) |
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CNRS : UMR7599 – Université Pierre et Marie Curie [UPMC] - Paris VI – Université Paris VII - Paris Diderot |
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| Domaine | : | Mathématiques/Probabilités |
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| Interval fragmentation – Lévy Process – Multifractal spectra |
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| Liste des fichiers attachés à ce document : | ||||||||||
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| hal-00018531, version 3 | |
| http://hal.archives-ouvertes.fr/hal-00018531 | |
| oai:hal.archives-ouvertes.fr:hal-00018531 | |
| Contributeur : Nathalie Krell | |
| Soumis le : Jeudi 3 Juillet 2008, 15:11:18 | |
| Dernière modification le : Lundi 22 Mars 2010, 14:12:21 | |
