The Random-Cluster Model by Geoffrey R. Grimmett
English | PDF | 2006 | 390 Pages | ISBN : 3540328904 | 4.3 MB
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.