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| HAL : hal-00020421, version 1 |
| arXiv : math.PR/0603233 |
| Fiche détaillée |  Récupérer au format |
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| Strong localization and macroscopic atoms for directed polymers |
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| Vincent Vargas 1 |
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| (09/03/2006) |
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| In this article, we derive strong localization results for directed polymers in random environment. We show that at "low temperature" the polymer measure is asymptotically concentrated at a few points of macroscopic mass (we call these points epsilon-atoms). These results are derived assuming weak conditions on the tail decay of the random environment. |
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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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| Directed polymers in random environment |
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| Liste des fichiers attachés à ce document : | ||||||||||
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| hal-00020421, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00020421 | |
| oai:hal.archives-ouvertes.fr:hal-00020421 | |
| Contributeur : Vincent Vargas | |
| Soumis le : Jeudi 9 Mars 2006, 18:19:21 | |
| Dernière modification le : Jeudi 9 Mars 2006, 22:48:14 | |
