TY  - BOOK
AU  - Slade,Gordon
AU  - Picard,Jean
ED  - SpringerLink (Online service)
TI  - The Lace Expansion and its Applications: Ecole d'Eté de Probabilités de Saint-Flour XXXIV - 2004 
T2  - Lecture Notes in Mathematics,
SN  - 9783540355182
AV  - QA273.A1-274.9 
U1  - 519.2 23
PY  - 2006///
CY  - Berlin, Heidelberg
PB  - Springer Berlin Heidelberg
KW  - Mathematics
KW  - Combinatorics
KW  - Distribution (Probability theory)
KW  - Mathematical physics
KW  - Probability Theory and Stochastic Processes
KW  - Mathematical and Computational Physics
N1  - 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
N2  - 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. Results include proofs of existence of critical exponents and construction of scaling limits. Often, the scaling limit is described in terms of super-Brownian motion
UR  - http://dx.doi.org/10.1007/b128444
ER  -