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The Random-Cluster Model

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Beschreibung

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 accounts of the subcritical and supercritical phases, together with clear statements of important open problems. There is an extensive treatment of the first-order (discontinuous) phase transition, as well as a chapter devoted to applications of the random-cluster method to other models of statistical physics.
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Details

Weitere ISBN/GTIN9783540328919
ProduktartE-Book
EinbandE-Book
FormatPDF
Format HinweisWasserzeichen
Erscheinungsdatum13.12.2006
Auflage2006
ReiheGrundlehren der mathematischen Wissenschaften
Reihen-Nr.333
Seiten378 Seiten
SpracheEnglisch
IllustrationenXIII, 378 p.
Artikel-Nr.1177596
KatalogVC
Datenquelle-Nr.27913
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Autor

PhD (Oxford 1974) under supervision of John Hammersley and Dominic Welsh. Member of the Mathematics Department of Bristol University (1976-1992), and subsequently appointed to the Professorship of Mathematics Statistics at Cambridge University. Author of around 100 articles and five books in probability and related fields, including Percolation (Springer 1999), Probability and Random Processes (with David Stirzaker, Oxford University Press 2001). Managing Editor of "Probability Theory and Related Fields", 2001-2005.