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The lace expansion and its applications: Ecole d'Ete de Probabilites de Saint-Flour XXXIV, 2004

✍ Scribed by Gordon Slade, Jean Picard

Book ID
127423939
Publisher
Springer
Year
2006
Tongue
English
Weight
1 MB
Series
Lecture notes in mathematics 1879
Edition
1
Category
Library
City
Berlin; New York
ISBN
3540355189
ISSN
0075-8434

No coin nor oath required. For personal study only.

✦ Synopsis

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.

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