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Book synopsis

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.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.

Book details

Book category Books in English Mathematics & science Mathematics Probability & statistics

• Full title: Random-Cluster Model
• Author: Geoffrey R. Grimmett
• Language: English
• Binding: Paperback
• Number of pages: 378
• EAN: 9783642069437
• ISBN: 3642069436
• ID: 01652137
• Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
• Weight: 605 g
• Dimensions: 235 × 155 × 22 mm
• Date of publishing: 02. November 2010

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