The Lace Expansion and its Applications Ecole d'Eté de Probabilités de Saint-Flour XXXIV - 2004 /

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, p...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Slade, Gordon (Autor)
Autor Corporativo: SpringerLink (Online service)
Otros Autores: Picard, Jean (Editor )
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2006.
Edición:1st ed. 2006.
Colección:École d'Été de Probabilités de Saint-Flour ; 1879
Temas:
Probabilities.
Mathematical physics.
Discrete mathematics.
Probability Theory.
Theoretical, Mathematical and Computational Physics.
Discrete Mathematics.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Simple Random Walk
  • The Self-Avoiding Walk
  • The Lace Expansion for the Self-Avoiding Walk
  • Diagrammatic Estimates for the Self-Avoiding Walk
  • Convergence for the Self-Avoiding Walk
  • Further Results for the Self-Avoiding Walk
  • Lattice Trees
  • The Lace Expansion for Lattice Trees
  • Percolation
  • The Expansion for Percolation
  • Results for Percolation
  • Oriented Percolation
  • Expansions for Oriented Percolation
  • The Contact Process
  • Branching Random Walk
  • Integrated Super-Brownian Excursion
  • Super-Brownian Motion.

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