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

Autor: Ecole d'été de probabilités de Saint-Flour; Gordon Douglas Slade; Jean Picard
Editora: Berlin ; New York : Springer, ©2006.
Séries: Lecture notes in mathematics (Springer-Verlag), 1879.
Edição/Formato   e-book : Documento : InglêsVer todas as edições e formatos
Base de Dados:WorldCat
Resumo:
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  Ler mais...
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Detalhes

Gênero/Forma: Electronic books
Conference papers and proceedings
Congresses
Tipo de Material: Documento, Recurso Internet
Tipo de Documento: Recurso Internet, Arquivo de Computador
Todos os Autores / Contribuintes: Ecole d'été de probabilités de Saint-Flour; Gordon Douglas Slade; Jean Picard
ISBN: 3540311890 9783540311898 3540355189 9783540355182
Número OCLC: 228394503
Descrição: 1 online resource (xiii, 228 pages) : illustrations.
Conteúdos: 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.
Título da Série: Lecture notes in mathematics (Springer-Verlag), 1879.
Responsabilidade: G. Slade ; editor, Jean Picard.
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Resumo:

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  Ler mais...

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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 Ler mais...

 
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