ENGLISH

The Random-Cluster Model (Grundlehren der mathematischen Wissenschaften)

By Geoffrey Grimmett

Book information

Year
2009
ISBN
3540328904, 9783540328919, 9783540328902
Open Library ID
OL9056373M
Language
english
Format
PDF
Filesize
3 MB (2788019 bytes)
Edition
1st ed. 2006. Corr., 2nd printing 2009
Pages
391\391
Orientation
yes
Scanned
no
Time added
2011-06-04 13:46:07

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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