The Random-Cluster Model
| Author | : Geoffrey R. Grimmett |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 392 |
| Release | : 2006-12-13 |
| ISBN-10 | : 9783540328919 |
| ISBN-13 | : 3540328912 |
| Rating | : 4/5 (912 Downloads) |
Book Synopsis The Random-Cluster Model by : Geoffrey R. Grimmett
Download or read book The Random-Cluster Model written by Geoffrey R. Grimmett and published by Springer Science & Business Media. This book was released on 2006-12-13 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.