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.
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