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Anotácia knihy

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 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.

Parametre knihy

Zaradenie knihy Knihy po anglicky Mathematics & science Mathematics Probability & statistics

• Celý názov: Random-Cluster Model
• Autor: Geoffrey R. Grimmett
• Jazyk: Angličtina
• Väzba: Brožovaná
• Počet strán: 378
• EAN: 9783642069437
• ISBN: 3642069436
• ID: 01652137
• Nakladateľ: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
• Hmotnosť: 605 g
• Rozmery: 235 × 155 × 22 mm
• Dátum vydania: 02. November 2010

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