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Author: Geoffrey R. Grimmett Publisher: Springer Science & Business Media ISBN: 3540328912 Category : Mathematics Languages : en Pages : 392
Book Description
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 Science & Business Media ISBN: 3540328912 Category : Mathematics Languages : en Pages : 392
Book Description
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: Michael Drmota Publisher: Springer Science & Business Media ISBN: 3211753575 Category : Mathematics Languages : en Pages : 466
Book Description
The aim of this book is to provide a thorough introduction to various aspects of trees in random settings and a systematic treatment of the mathematical analysis techniques involved. It should serve as a reference book as well as a basis for future research.
Author: Geoffrey R. Grimmett
Author: Geoffrey R. Grimmett
Author: Michael Drmota
Author: