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

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ISBN-10:

3642069436

ISBN-13:

9783642069437

Author(s): Grimmett, Geoffrey R.
Released: Nov 17, 2010
Publisher: Springer
Format: Paperback, 391 pages
Related ISBN: 9783540328902
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Description:

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.

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