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 selfavoiding walk by
Neal Noah Madras(
Book
)
4 editions published between 1993 and 1996 in English and held by 270 WorldCat member libraries worldwide
A selfavoiding 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 selfavoiding walk typically travels from its starting point, or even how many such walks there are. These and other important questions about the selfavoiding 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 selfavoiding 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 longchain 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
4 editions published between 1993 and 1996 in English and held by 270 WorldCat member libraries worldwide
A selfavoiding 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 selfavoiding walk typically travels from its starting point, or even how many such walks there are. These and other important questions about the selfavoiding 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 selfavoiding 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 longchain 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
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
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 SaintFlour XXXIV2004 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 selfavoiding 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 superBrownian motion
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 selfavoiding 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 superBrownian motion
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Associated Subjects
Chemistry, Physical and theoreticalMathematics Combinatorial analysis Distribution (Probability theory) Mathematical physics Mathematical statistics Mathematics Percolation (Statistical physics) Probabilities Quantum field theory Random walks (Mathematics) Scaling laws (Statistical physics) Selfavoiding walks (Mathematics) Statistical physics