The Self-Avoiding Walk

The self-avoiding walk is a mathematical model that has important applications in statistical mechanics and polymer science. In spite of its simple definition-a path on a lattice that does not visit the same site more than once-it is difficult to analyze mathematically. The Self-Avoiding Walk provid...

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Bibliographic Details
Call Number:Libro Electrónico
Main Authors: Madras, Neal (Author), Slade, Gordon (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: New York, NY : Springer New York : Imprint: Birkhäuser, 2013.
Edition:1st ed. 2013.
Series:Modern Birkhäuser Classics,
Subjects:
Probabilities.
Discrete mathematics.
Mathematical physics.
Probability Theory.
Discrete Mathematics.
Mathematical Physics.
Online Access:Texto Completo
Table of Contents:
  • Preface.-  Introduction
  • Scaling, polymers and spins
  • Some combinatorial bounds
  • Decay of the two-point function
  • The lace expansion
  • Above four dimensions
  • Pattern theorems
  • Polygons, slabs, bridges and knots
  • Analysis of Monte Carlo methods
  • Related Topics
  • Random walk
  • Proof of the renewal theorem
  • Tables of exact enumerations
  • Bibliography
  • Notation
  • Index. .

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