WorldCat Identities

Slade, Gordon Douglas 1955-

Overview
Works: 4 works in 8 publications in 1 language and 347 library holdings
Genres: Conference papers and proceedings 
Roles: Author
Classifications: QA274.73, 519.233
Publication Timeline
.
Most widely held works by Gordon Douglas Slade
The self-avoiding walk by Neal Noah Madras( Book )

4 editions published between 1993 and 1996 in English and held by 270 WorldCat member libraries worldwide

A self-avoiding walk is a path on a lattice that does not visit the same site more than once. In spite of this simple definition, many of the most basic questions about this model are difficult to resolve in a mathematically rigorous fashion. In particular, we do not know much about how far an n step self-avoiding walk typically travels from its starting point, or even how many such walks there are. These and other important questions about the self-avoiding walk remain unsolved in the rigorous mathematical sense, although the physics and chemistry communities have reached consensus on the answers by a variety of nonrigorous methods, including computer simulations. But there has been progress among mathematicians as well, much of it in the last decade, and the primary goal of this book is to give an account of the current state of the art as far as rigorous results are concerned. A second goal of this book is to discuss some of the applications of the self-avoiding walk in physics and chemistry, and to describe some of the nonrigorous methods used in those fields. The model originated in chem istry several decades ago as a model for long-chain polymer molecules. Since then it has become an important model in statistical physics, as it exhibits critical behaviour analogous to that occurring in the Ising model and related systems such as percolation
An asymptotic loop extension for the effective potential in the p(ø)₂ quantum field theory by Gordon Douglas Slade( Book )

2 editions published in 1984 in English and held by 2 WorldCat member libraries worldwide

An asymptotic loop expansion for the effective potential in the P(Ø)@ quantum field theory by Gordon Douglas Slade( Book )

1 edition published in 1986 in English and held by 1 WorldCat member library worldwide

The lace expansion and its applications : Ecole d'Eté de Probabilités de Saint-Flour XXXIV--2004 by G Slade( )

1 edition published in 2006 in English and held by 0 WorldCat member libraries worldwide

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
 
Audience Level
0
Audience Level
1
  Kids General Special  
Audience level: 0.58 (from 0.58 for The self-a ... to 0.96 for An asympto ...)

The self-avoiding walk
Languages
Covers
The lace expansion and its applications : Ecole d'Eté de Probabilités de Saint-Flour XXXIV--2004