The Random-Cluster Model
Geoffrey R. Grimmett
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.
Kategorie:
Rok:
2009
Wydanie:
1st ed. 2006. Corr. 2nd printing
Wydawnictwo:
Springer
Język:
english
Strony:
390
ISBN 10:
3540328904
ISBN 13:
9783540328902
Serie:
Grundlehren der mathematischen Wissenschaften 333
Plik:
PDF, 4.57 MB
IPFS:
,
english, 2009
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