Madras, Neal Noah 1957
Overview
Works:  6 works in 51 publications in 1 language and 1,057 library holdings 

Genres:  Conference proceedings 
Roles:  Author, Editor 
Classifications:  QA274.73, 519.282 
Publication Timeline
.
Most widely held works by
Neal Noah Madras
The selfavoiding walk
by
Neal Noah Madras(
)
27 editions published between 1992 and 2013 in English and held by 651 WorldCat member libraries worldwide
The selfavoiding walk is a mathematical model that has important applications in statistical mechanics and polymer science. In spite of its simple definitiona path on a lattice that does not visit the same site more than onceit is difficult to analyze mathematically. TheSelfAvoiding Walkprovides the firstunified account of the known rigorous results for the selfavoiding walk, with particular emphasis on its critical behavior. Its goals are to give an account of the current mathematical understanding of the model, to indicate some of the applications of the concept in physics and in chemistry, and to give an introduction to some of the nonrigorous methods used in those fields. Topics covered in the bookinclude: the lace expansion and its application to the selfavoiding walk in more than four dimensions where most issues are now resolved; an introduction to the nonrigorous scaling theory; classical work of Hammersley and others; a new exposition of Kesten's pattern theorem and its consequences; a discussion of the decay of the twopoint function and its relation to probabilistic renewal theory; analysis of Monte Carlo methods that have been used to study the selfavoiding walk; the role of the selfavoiding walk in physical and chemical applications. Methods from combinatorics, probability theory, analysis, and mathematical physics play important roles. The book is highly accessible to both professionals and graduate students in mathematics, physics, and chemistry
27 editions published between 1992 and 2013 in English and held by 651 WorldCat member libraries worldwide
The selfavoiding walk is a mathematical model that has important applications in statistical mechanics and polymer science. In spite of its simple definitiona path on a lattice that does not visit the same site more than onceit is difficult to analyze mathematically. TheSelfAvoiding Walkprovides the firstunified account of the known rigorous results for the selfavoiding walk, with particular emphasis on its critical behavior. Its goals are to give an account of the current mathematical understanding of the model, to indicate some of the applications of the concept in physics and in chemistry, and to give an introduction to some of the nonrigorous methods used in those fields. Topics covered in the bookinclude: the lace expansion and its application to the selfavoiding walk in more than four dimensions where most issues are now resolved; an introduction to the nonrigorous scaling theory; classical work of Hammersley and others; a new exposition of Kesten's pattern theorem and its consequences; a discussion of the decay of the twopoint function and its relation to probabilistic renewal theory; analysis of Monte Carlo methods that have been used to study the selfavoiding walk; the role of the selfavoiding walk in physical and chemical applications. Methods from combinatorics, probability theory, analysis, and mathematical physics play important roles. The book is highly accessible to both professionals and graduate students in mathematics, physics, and chemistry
Lectures on Monte Carlo methods
by
Neal Noah Madras(
Book
)
9 editions published in 2002 in English and held by 232 WorldCat member libraries worldwide
9 editions published in 2002 in English and held by 232 WorldCat member libraries worldwide
Monte Carlo methods
by Workshop on Monte Carlo methods(
Book
)
6 editions published between 2000 and 2001 in English and held by 159 WorldCat member libraries worldwide
6 editions published between 2000 and 2001 in English and held by 159 WorldCat member libraries worldwide
MonteCarlo approximation algorithms for enumeration problems
by
Richard Alan Karp(
Book
)
3 editions published in 1987 in English and Undetermined and held by 9 WorldCat member libraries worldwide
3 editions published in 1987 in English and Undetermined and held by 9 WorldCat member libraries worldwide
A process in a randomly fluctuating environment
by
Neal Noah Madras(
Book
)
5 editions published in 1984 in English and Undetermined and held by 5 WorldCat member libraries worldwide
5 editions published in 1984 in English and Undetermined and held by 5 WorldCat member libraries worldwide
Comparing the regularity, flexibility and applied properties of Bernstein and AIM seminonparametric models
(
)
1 edition published in 2003 in English and held by 1 WorldCat member library worldwide
1 edition published in 2003 in English and held by 1 WorldCat member library worldwide
Audience Level
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Alternative Names
Madras, Neal.
Madras, Neal 1957
Madras, Neal Noah 1957
Noah Madras Neal
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