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A Series of Comprehensive Studies in Mathematics, Volume 333: The Random-Cluster Model (Hardback)

A Series of Comprehensive Studies in Mathematics, Volume 333: The Random-Cluster Model (Hardback)

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From the back cover: "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."

BRIEF CONTENTS

  • 1. Random-Cluster Measures
  • 2. Monotonic Measures
  • 3. Fundamental Properties
  • 4. Infinite-Volume Measures
  • 5. Phase Transition
  • 6. In Two Dimensions
  • 7. Duality in Higher Dimensions
  • 8. Dynamics of Random-Cluster Models
  • 9. Flows in Poisson Graphs
  • 10. On Other Graphs
  • 11. Graphical Methods for Spin Systems
  • Appendix. The Origins of FK(G)
  • List of Notations
  • References
  • Index
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AUTHOR: Grimmett;Geoffrey
PUBLISHER: Springer Science+Business Media
ISBN-13: 9783540328902
ISBN-10: 3540328904
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A Series of Comprehensive Studies in Mathematics, Volume 333: The Random-Cluster Model (Hardback)
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