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

Author: G Slade; Jean Picard
Publisher: Berlin ; New York : Springer, ©2006.
Series: Lecture notes in mathematics (Springer-Verlag), 1879.
Edition/Format:   Book : EnglishView all editions and formats
Database:WorldCat
Summary:

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  Read more...

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: G Slade; Jean Picard
ISBN: 3540311890 9783540311898
OCLC Number: 314411708
Description: xiii, 228 p. : ill. ; 24 cm.
Contents: 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.
Series Title: Lecture notes in mathematics (Springer-Verlag), 1879.
Other Titles: Ecole d'Et ̌de Probabilitš de Saint-Flour XXXIV-2004
Responsibility: G. Slade ; editor, 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 Read more...

 
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