The Random Cluster Model On A General Graph And A Phase Transition Characterization Of Nonamendability
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| Author | : Geoffrey R. Grimmett |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 392 |
| Release | : 2006-12-13 |
| Genre | : Mathematics |
| ISBN | : 3540328912 |
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.
| Author | : Geoffrey R. Grimmett |
| Publisher | : Springer |
| Total Pages | : 378 |
| Release | : 2009-09-02 |
| Genre | : Mathematics |
| ISBN | : 9783540821588 |
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.
