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The lace expansion and its applications : Ecole d'Eté des Probabilités de Saint-Flour XXXIV - 2004

Auteur : Jean Picard; Gordon Slade
Éditeur: Berlin [u.a.] : Springer, 2006.
Collection: Lecture notes in mathematics, Subseries: Ecole d'Eté des Probabilités de Saint-Flour., 1879.
Édition/format:   Livre imprimé : AnglaisVoir toutes les éditions et tous les formats
Résumé:

The lace expansion is a powerful and flexible method for understanding the critical scaling of several models of interest in probability, statistical mechanics, and combinatorics, above their upper  Lire la suite...

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Détails

Type d’ouvrage: Ressource Internet
Type de document: Livre, Ressource Internet
Tous les auteurs / collaborateurs: Jean Picard; Gordon Slade
ISBN: 3540311890 9783540311898
Numéro OCLC: 255144146
Description: XIII, 228 S : graph. Darst ; 24 cm.
Contenu: Simple Random Walk.- The Self-Avoiding Walk.- The Lace Expansion for the Self-Avoiding Walk.- Diagrammatic Estimates for the Self-Avoiding Walk.- Convergence for the Self-Avoiding Walk.- Further Results for the Self-Avoiding Walk.- Lattice Trees.- The Lace Expansion for Lattice Trees.- Percolation.- The Expansion for Percolation.- Results for Percolation.- Oriented Percolation.- Expansions for Oriented Percolation.- The Contact Process.- Branching Random Walk.- Integrated Super-Brownian Excursion.- Super-Brownian Motion.
Titre de collection: Lecture notes in mathematics, Subseries: Ecole d'Eté des Probabilités de Saint-Flour., 1879.
Responsabilité: G. Slade. Ed.: Jean Picard.
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From the reviews:"The book consists mainly of materials for an advanced master course. ... The book focusses on the modeling of mechanics, where the concept of a model shall be understood in its Lire la suite...

 
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