The lace expansion and its applications
Author(s)
Bibliographic Information
The lace expansion and its applications
（Lecture notes in mathematics, 1879 . Ecole d'eté de probabilités de Saint-Flour / editor,
Springer, c2006
- Other Title
-
The lace expansion and its applications, St. Flour 2004
Available at / 66 libraries
-
Library, Research Institute for Mathematical Sciences, Kyoto University数研
L/N||LNM||187906015288
-
No Libraries matched.
- Remove all filters.
Note
"Three series of lectures were given at the 34th Probability Summer School in Saint-Flour (July 6-24, 2004)"--Foreword
Includes in bibliographical references (p. [211]-220) and index
"ISSN Ecole d'été de probabilités de St-Flour, print edition: 0721-5363"--T.p. verso
Description and Table of Contents
Description
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.
Table of 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.
by "Nielsen BookData"
