The Random-Cluster Model (Grundlehren der mathematischen Wissenschaften, 333)

Grimmett, Geoffrey R.

ISBN 10: 3540328904 / ISBN 13: 9783540328902

Verlag: Springer, 2006

Beschreibung

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Bestandsnummer des Verkäufers Q-3540328904

Bibliografische Details

• Titel: The Random-Cluster Model (Grundlehren der mathematischen Wissenschaften, 333)
• Verlag: Springer
• Erscheinungsjahr: 2006
• Sprache: Englisch
• ISBN-10: 3540328904
• ISBN-13: 9783540328902
• Einband: hardcover
• Zustand: New
• Gewicht: 57 Unzen

Über diesen Titel

Inhaltsangabe

The random-cluster model has emerged 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. The Random-Cluster Model contains accounts of the subcritical and supercritical phases, together with clear statements of important open problems. The book includes treatment of the first-order (discontinuous) phase transition.

Über die Autorin bzw. den 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.