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

Auteur : Ecole d'été de probabilités de Saint-Flour; Gordon Douglas Slade; Jean Picard
Éditeur : Berlin ; New York : Springer, ©2006.
Collection : Lecture notes in mathematics (Springer-Verlag), 1879.
Édition/format :   Livre électronique : Document : AnglaisVoir toutes les éditions et tous les formats
Base de données :WorldCat
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 critical dimensions. These models include the self-avoiding walk, lattice trees and lattice animals, percolation, oriented percolation, and the contact process. This volume provides a unified and extensive overview of the  Lire la suite...
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Genre/forme : Conference papers and proceedings
Electronic books
Congresses
Type d’ouvrage : Document, Ressource Internet
Format : Ressource Internet, Fichier informatique
Tous les auteurs / collaborateurs : Ecole d'été de probabilités de Saint-Flour; Gordon Douglas Slade; Jean Picard
ISBN : 3540311890 9783540311898 3540355189 9783540355182
Numéro OCLC : 228394503
Description : 1 online resource (xiii, 228 pages) : illustrations.
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 (Springer-Verlag), 1879.
Responsabilité : G. Slade ; editor, Jean Picard.
Plus d’informations :

Résumé :

The lace expansion is a method for understanding the scaling of several models in probability, statistical mechanics and combinatorics, such as the self-avoiding walk, lattice trees and lattice  Lire la suite...

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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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