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| HAL : hal-00145720, version 2 |
| arXiv : 0705.1630 |
| DOI : 10.1016/j.spa.2007.11.009 |
| Fiche détaillée |  Récupérer au format |
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| Stochastic Processes and their Applications 118, 11 (2008) 1929-1972 |
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| Versions disponibles : | v1 (11-05-2007) | v2 (18-12-2007) |
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| A coarse graining for the Fortuin-Kasteleyn measure in random media |
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| Marc Wouts 1 |
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| (11/2008) |
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| By means of a multi-scale analysis we describe the typical geometrical structure of the clusters under the FK measure in random media. Our result holds in any dimension greater or equal to 2 provided that slab percolation occurs under the averaged measure, which should be the case in the whole supercritical phase. This work extends the one of Pisztora and provides an essential tool for the analysis of the supercritical regime in disordered FK models and in the corresponding disordered Ising and Potts models. |
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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/Physique mathématique Physique/Physique mathématique Mathématiques/Probabilités |
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| Coarse Graining – Multiscale Analysis – Random Media – Fortuin-Kasteleyn Measure – Dilute Ising Model |
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| Liste des fichiers attachés à ce document : | ||||||||||
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| hal-00145720, version 2 | |
| http://hal.archives-ouvertes.fr/hal-00145720 | |
| oai:hal.archives-ouvertes.fr:hal-00145720 | |
| Contributeur : Marc Wouts | |
| Soumis le : Mardi 18 Décembre 2007, 17:48:11 | |
| Dernière modification le : Vendredi 7 Novembre 2008, 17:40:51 | |
