The Random-Cluster Model (Grundlehren der mathematischen Wissenschaften)
Edition: 1 edition
Publisher: Springer
Published: July 26, 2006
Language: eng
Format: Hardcover
Number of pages: 380
ISBN-13: 9783540328902
Subjects: Mathematics; Science; Science/Mathematics; Mathematical Physics; Probability & Statistics - General; Ising model; Mathematics / Statistics; Potts model; Random-cluster model; ferromagnetism; percolation
Description: "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."--BOOK JACKET.