Jean Picard,
Gordon Slade
Springer Berlin Heidelberg
2006e druk, 2006
9783540311898
The Lace Expansion and its Applications
Ecole d'Eté de Probabilités de Saint-Flour XXXIV - 2004
Specificaties
Paperback, 233 blz.
|
Engels
Springer Berlin Heidelberg |
2006e druk, 2006
ISBN13: 9783540311898
Rubricering
Onderdeel van serie
Lecture Notes in Mathematics
Verwachte levertijd ongeveer 8 werkdagen
Samenvatting
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 lace expansion and its applications to these models.
Specificaties
ISBN13:9783540311898
Taal:Engels
Bindwijze:paperback
Aantal pagina's:233
Uitgever:Springer Berlin Heidelberg
Druk:2006
Inhoudsopgave
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.