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| HAL : hal-00196381, version 3 |
| arXiv : 0712.1951 |
| Fiche détaillée |  Récupérer au format |
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| Versions disponibles : | v1 (12-12-2007) | v2 (12-02-2008) | v3 (09-07-2008) |
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| Scaling limit and aging for directed trap models |
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| Olivier Zindy 1 |
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| (12/12/2007) |
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| We consider one-dimensional directed trap models and suppose that the trapping times are heavy-tailed. We obtain the inverse of a stable subordinator as scaling limit and prove an aging phenomenon expressed in terms of the generalized arcsine law. These results confirm the status of universality described by Ben Arous and \v Cerný for a large class of graphs. |
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| 1 : | Weierstrass Institute for Applied Analysis and Stochastics (WIAS) |
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Forschungsverbund Berlin e.V. (FVB) |
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| Domaine | : | Mathématiques/Probabilités |
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| directed trap model – random walk – scaling limit – subordinator – aging |
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| hal-00196381, version 3 | |
| http://hal.archives-ouvertes.fr/hal-00196381 | |
| oai:hal.archives-ouvertes.fr:hal-00196381 | |
| Contributeur : Olivier Zindy | |
| Soumis le : Mercredi 9 Juillet 2008, 11:38:59 | |
| Dernière modification le : Mercredi 9 Juillet 2008, 14:09:57 | |
