Geoffrey R. Grimmett
Springer Berlin Heidelberg
0e druk, 2010
9783642069437
The Random-Cluster Model
Specificaties
Paperback, 378 blz.
|
Engels
Springer Berlin Heidelberg |
2010
ISBN13: 9783642069437
Rubricering
Onderdeel van serie
Grundlehren der mathematischen Wissenschaften
Levertijd ongeveer 9 werkdagen
Gratis verzonden
Samenvatting
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.
Specificaties
ISBN13:9783642069437
Taal:Engels
Bindwijze:paperback
Aantal pagina's:378
Uitgever:Springer Berlin Heidelberg
Druk:0
Inhoudsopgave
Random-Cluster Measures.- Monotonic Measures.- Fundamental Properties.- Infinite-Volume Measures.- Phase Transition.- In Two Dimensions.- Duality in Higher Dimensions.- Dynamics of Random-Cluster Models.- Flows in Poisson Graphs.- On Other Graphs.- Graphical Methods for Spin Systems.