ENGLISH

The Random-Cluster Model

By Geoffrey R. Grimmett

Book information

Publisher
Springer
Year
2010
ISBN
9783642069437, 3642069436
Language
english
Format
PDF
Filesize
3 MB (3643376 bytes)
Series
Grundlehren der mathematischen Wissenschaften
Edition
1st ed. 2006. Corr. 2nd printing
Pages
390\390
Topic
Physics
Library
kolxoz
Time added
2010-02-18 13:16:04

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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