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Random-Cluster Model

Name: Random-Cluster Model
Brand: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
SKU: 01652137
Price: 41014 HUF
Availability: InStock
Author: Geoffrey R. Grimmett
ISBN: 9783642069437

Geoffrey R. Grimmett

Language

English

Book Paperback

Libristo code: 01652137

Publishers Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, November 2010

The random-cluster model has emerged as a key tool in the mathematical study of ferromagnetism. It m... Full description

Libristo code: 01652137

272 b

41 014 Ft

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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.