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| HAL : hal-00105215, version 2 |
| arXiv : math/0610326 |
| Fiche détaillée |  Récupérer au format |
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| Versions disponibles : | v1 (10-10-2006) | v2 (08-11-2007) |
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| Upper limits of Sinai's walk in random scenery |
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| Olivier Zindy 1 |
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| (10/10/2006) |
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| We consider Sinai's walk in i.i.d. random scenery and focus our attention on a conjecture of Révész \cite{r05} concerning the upper limits of Sinai's walk in random scenery when the scenery is bounded from above. A close study of the competition between the concentration property for Sinai's walk and negative values for the scenery enables us to prove that the conjecture is true if the scenery has "thin" negative tails and is false otherwise. |
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| 1 : | Laboratoire de Probabilités et Modèles Aléatoires (LPMA) |
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CNRS : UMR7599 – Université Paris VI - Pierre et Marie Curie – Université Paris VII - Paris Diderot |
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| Domaine | : | Mathématiques/Probabilités |
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| Random walk in random environment – random scenery – localization – concentration property |
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| Liste des fichiers attachés à ce document : | ||||||||||
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| hal-00105215, version 2 | |
| http://hal.archives-ouvertes.fr/hal-00105215 | |
| oai:hal.archives-ouvertes.fr:hal-00105215 | |
| Contributeur : Olivier Zindy | |
| Soumis le : Jeudi 8 Novembre 2007, 13:53:02 | |
| Dernière modification le : Jeudi 9 Avril 2009, 18:22:59 | |
