Positive association in the fractional fuzzy Potts model

DOI10.1214/009117907000000042zbMath1128.60085arXiv0711.3136OpenAlexW2089267638MaRDI QIDQ2460319

Nicholas Weininger, Jeffry Kahn

Publication date: 14 November 2007

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0711.3136

zbMATH Keywords

random cluster modelpositive associationfuzzy Potts model

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Combinatorial probability (60C05) Probabilistic methods in extremal combinatorics, including polynomial methods (combinatorial Nullstellensatz, etc.) (05D40)

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Generalized Divide and Color models ⋮ Sharp thresholds for the random-cluster and Ising models ⋮ The high temperature Ising model on the triangular lattice is a critical Bernoulli percolation model ⋮ Gibbsianness and non-Gibbsianness in divide and color models ⋮ Sharp phase transition and critical behaviour in 2D divide and colour models ⋮ Examples of DLR states which are not weak limits of finite volume Gibbs measures with deterministic boundary conditions

Cites Work

• Unnamed Item
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• Correlation inequalities on some partially ordered sets
• Positive correlations in the fuzzy Potts model
• Coloring percolation clusters at random.
• A counterexample to the generalisation of Sperner's theorem
• The \(T,T^{-1}\)-process, finitary codings and weak Bernoulli

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