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Technical The Random-Cluster Model (Grundlehren der mathematischen Wissenschaften)

Posted on 2010-04-15




Name:Technical The Random-Cluster Model (Grundlehren der mathematischen Wissenschaften)
ASIN/ISBN:3540328904
Publish Date:2006-07-26
Pages:380 Pages
File size:3.23 Mb
Publish Date: 2006-07-26
ISBN: 3540328904
Pages: 380 Pages
File Size: 3.23 MB
File Type: PDF
Other Info: Springer
   Technical The Random-Cluster Model (Grundlehren der mathematischen Wissenschaften)

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The Random-Cluster Model (Grundlehren der mathematischen Wissenschaften)

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.

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