The Random-Cluster Model
Title | The Random-Cluster Model PDF eBook |
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.
The Random-Cluster Model
Title | The Random-Cluster Model PDF eBook |
Author | Geoffrey Grimmett |
Publisher | Springer Verlag |
Total Pages | 377 |
Release | 2006-01-01 |
Genre | Mathematics |
ISBN | 9783540328902 |
The random-cluster model has emerged in recent years 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 systematic study includes accounts of the subcritical and supercritical phases, together with clear statements of important open problems. There is an extensive treatment of the first-order (discontinuous) phase transition, as well as a chapter devoted to applications of the random-cluster method to other models of statistical physics.
The Random-Cluster Model
Title | The Random-Cluster Model PDF eBook |
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.
The Random Cluster Model on a General Graph and a Phase Transition Characterization of Nonamendability
Title | The Random Cluster Model on a General Graph and a Phase Transition Characterization of Nonamendability PDF eBook |
Author | |
Publisher | |
Total Pages | 18 |
Release | 1998 |
Genre | |
ISBN |
On the Random-cluster Model
Title | On the Random-cluster Model PDF eBook |
Author | Cornelis Marius Fortuin |
Publisher | |
Total Pages | 116 |
Release | 1971 |
Genre | |
ISBN |
The Random Cluster Model on an General Graph and a Phase Transition Characterization of Nonamenability
Title | The Random Cluster Model on an General Graph and a Phase Transition Characterization of Nonamenability PDF eBook |
Author | Johan Jonasson |
Publisher | |
Total Pages | 18 |
Release | 1998 |
Genre | |
ISBN |
Connectivity Properties of the Random-cluster Model
Title | Connectivity Properties of the Random-cluster Model PDF eBook |
Author | |
Publisher | |
Total Pages | |
Release | 2016 |
Genre | |
ISBN |