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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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Madras, Neal (Autor), Slade, Gordon (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York, NY : Springer New York : Imprint: Birkhäuser, 2013.
Edición:1st ed. 2013.
Colección:Modern Birkhäuser Classics,
Temas:
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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. .