RT Web Page DB /z-wcorg/ DS http://worldcat.org ID 228394503 LA English UL http://www.myilibrary.com?id=61500 T1 The lace expansion and its applications : Ecole d'Eté de Probabilités de Saint-Flour XXXIV-2004 A1 Ecole d'été de probabilités de Saint-Flour, Slade, Gordon Douglas,, Picard, Jean., PB Springer PP Berlin; New York YR 2006 SN 3540311890 9783540311898 3540355189 9783540355182 AB 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.