The Random-Cluster Model |
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| Author:
| Grimmett, Geoffrey R. |
| ISBN: | 978-3-540-32890-2 |
| Publication Date: | Jan 2006 |
| Publisher: | Springer
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| Book Format: | Hardback |
| List Price: | AUD $194.95 |
Book Description:
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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. This study contains accounts of the subcritical and supercritical phases, together with clear statements of important open problems. It includes treatment of the first-order (discontinuous) phase transition.
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. This study contains accounts of the subcritical and supercritical phases, together with clear statements of important open problems. It includes treatment of the first-order (discontinuous) phase transition.