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

Author: G Slade; Jean Picard
Publisher: Berlin : Springer, ©2006.
Series: Lecture notes in mathematics (Springer-Verlag), 1879.
Edition/Format:   eBook : Document : 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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Genre/Form: Electronic books
Additional Physical Format: Print version:
Slade, G. (Gordon).
Lace expansion and its applications.
Berlin : Springer, c2006
(DLC) 2006921789
(OCoLC)70201224
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: G Slade; Jean Picard
ISBN: 9783540355182 3540355189 3540311890 9783540311898 1280615001 9781280615009
OCLC Number: 262691398
Description: 1 online resource (xiii, 228 p.) : ill.
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'Eté de Probabilités 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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