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The Random-Cluster Model

The Random-Cluster Model by Geoffrey Grimmett
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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.
Springer; December 2006
390 pages; ISBN 9783540328919
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Title: The Random-Cluster Model
Author: Geoffrey Grimmett
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