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  2. decay2.dvi

    www.statslab.cam.ac.uk/~grg/papers/USdecay2.pdf
    15 Aug 2012: Whenq = 2, this role is played by the Simon{Lieb inequality (see [24, 27]). ... 1986). Phase coexistence and surface tensions for the Pottsmodel. Communications in Mathematical Physics 105, 527{545.24.
  3. vanzwet.dvi

    www.statslab.cam.ac.uk/~grg/papers/USvanzwet.pdf
    15 Aug 2012: Mathematics and its Applications, vol. 99, Springer, New York, pp. 1–24.Aizenman, M.
  4. grimmett.dvi

    www.statslab.cam.ac.uk/~grg/papers/camnato.pdf
    15 Aug 2012: 24] for a discussion). If d 3 and q is sufficiently large, then the uniqueness is aconsequence of Pirogov–Sinai theory ([37, 39]). ... 1992). Potts models and random-cluster processes with many-body interac-. tions (to appear).24.
  5. 2 Jul 2012: Probab. 24 (1996), 1036–1048. 4. M. Atapour and N. Madras, On the number of entangled clusters, J.Statist. ... J. Probab. Stat. 24 (2010), 300–320. 114. H. Kesten, V. Sidoravicius, and Y.
  6. notes.dvi

    www.statslab.cam.ac.uk/~grg/papers/USrednotes.pdf
    15 Aug 2012: PERCOLATION ANDDISORDERED SYSTEMSGeorey GRIMMETT. 2PREFACEThis course aims to be a (nearly) self-contained account of part of the mathematicaltheory of percolation and related topics. The rst nine chapters summarise rigorousresults in percolation
  7. keane.dvi

    www.statslab.cam.ac.uk/~grg/papers/USkeane.pdf
    15 Aug 2012: Theorem 6. [24] We have that µp(K = 1) = 1 whenever p > pentc. ... Soc., 130:175–188, 2001. MR1797779. [24] O. Häggström. Uniqueness of the infinite entangled component in three-dimensional bond percolation.
  8. meanf.dvi

    www.statslab.cam.ac.uk/~grg/papers/USmeanf.pdf
    15 Aug 2012: THE RANDOM-CLUSTER MODEL. ON THE COMPLETE GRAPH. Béla Bollobás, Geoffrey Grimmett, Svante JansonAbstract. The random-cluster model of Fortuin and Kasteleyn contains as specialcases the percolation, Ising, and Potts models of statistical physics.
  9. ems.dvi

    www.statslab.cam.ac.uk/~grg/papers/usems.pdf
    15 Aug 2012: THE RANDOM-CLUSTER MODEL. Geoffrey GrimmettAbstra t. The class of random-cluster models is a unification of a variety of sto-chastic processes of significance for probability and statistical physics, including per-colation, Ising, and Potts models;
  10. notes-reprint2012.dvi

    www.statslab.cam.ac.uk/~grg/papers/notes-reprint2012.pdf
    15 Aug 2012: PERCOLATION AND. DISORDERED SYSTEMS. Geoffrey GRIMMETT. Percolation and Disordered Systems 143. PREFACE. This course aims to be a (nearly) self-contained account of part of the math-ematical theory of percolation and related topics. The first nine
  11. potts2.dvi

    www.statslab.cam.ac.uk/~grg/papers/USpotts2.pdf
    15 Aug 2012: POTTS MODELS AND RANDOM-CLUSTER. PROCESSES WITH MANY-BODY INTERACTIONS. Geoffrey GrimmettAbstra t. Known differential inequalities for certain ferromagnetic Potts models with pair-interactions may be extended to Potts models with many-body

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