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| HAL : hal-00012577, version 1 |
| arXiv : math.PR/0510525 |
| Fiche détaillée |  Récupérer au format |
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| Majorizing multiplicative cascades for directed polymers in random media |
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| Francis Comets 1Vincent Vargas 1 |
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| (25/10/2005) |
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| In this note we give upper bounds for the free energy of discrete polymers in random media. The bounds are given by the so-called generalized multiplicative cascades from the statistical theory of turbulence. For the polymer model, we derive that the quenched free energy is different from the annealed one in dimension 1, for any finite temperature and general environment. This implies localization of the polymer. |
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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 – random environment |
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| Liste des fichiers attachés à ce document : | ||||||||||
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| hal-00012577, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00012577 | |
| oai:hal.archives-ouvertes.fr:hal-00012577 | |
| Contributeur : Vincent Vargas | |
| Soumis le : Mardi 25 Octobre 2005, 12:20:20 | |
| Dernière modification le : Mardi 25 Octobre 2005, 12:50:51 | |
