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The Random-Cluster Model

The random-cluster model has emerged in recent years as a key tool in the mathematical study of ferromagnetism. It may be viewed as an extension of percolation to include Ising and Potts models, and its analysis is a mix of arguments from probability and geometry. This systematic study includes acco...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Grimmett, Geoffrey R. (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2006.
Edición:1st ed. 2006.
Colección:Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics, 333
Temas:
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Random-Cluster Measures
  • Monotonic Measures
  • Fundamental Properties
  • Infinite-Volume Measures
  • Phase Transition
  • In Two Dimensions
  • Duality in Higher Dimensions
  • Dynamics of Random-Cluster Models
  • Flows in Poisson Graphs
  • On Other Graphs
  • Graphical Methods for Spin Systems.