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The lace expansion and its applications

Author: Gordon Slade; Ecole d'Eté de Probabilités <34, 2004, Saint-Flour>
Publisher: Berlin ; Heidelberg : Springer, 2006.
Series: Lecture notes in mathematics, 1879.
Edition/Format:   Computer file : 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: Online-Publikation
Material Type: Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Gordon Slade; Ecole d'Eté de Probabilités <34, 2004, Saint-Flour>
ISBN: 9783540311898 3540311890
OCLC Number: 180975318
Notes: Lizenzpflichtig.
Description: Online-Ressource.
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, 1879.
Responsibility: Ecole d'Eté de Probabilités de Saint-Flour XXXIV - 2004. G. Slade ...
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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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