The Random-Cluster Model, Hardback Book


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.


  • Format: Hardback
  • Pages: 378 pages, XIII, 378 p.
  • Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
  • Publication Date:
  • Category: Mathematics
  • ISBN: 9783540328902

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