rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    non sort: The
    title: Random-Cluster Model
  name:
    name part: Grimmett, Geoffrey R.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2006
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XIII, 378 p. online resource.
  abstract: 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.
  table of contents: 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.
  note: by Geoffrey R. Grimmett.
  subject:
    topic: Mathematics
  subject:
    topic: Probabilities
  subject:
    topic: Physics
  subject:
    topic: Mathematics
  subject:
    topic: Probability Theory and Stochastic Processes
  subject:
    topic: Theoretical, Mathematical and Computational Physics
  classification: QA273.A1-274.9
  classification: QA274-274.9
  classification: 519.2
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Grundlehren der mathematischen Wissensch, 333
  identifier: 9783540328919
  identifier: http://dx.doi.org/10.1007/978-3-540-32891-9
  record info:
    record creation date: 100301
    record change date: 20151103123510.0
    record identifier: 978-3-540-32891-9