Sharp thresholds for the random-cluster and Ising models

DOI10.1214/10-AAP693zbMath1223.60081arXiv0903.1501OpenAlexW3104962810MaRDI QIDQ627244

Geoffrey R. Grimmett, Benjamin T. Graham

Publication date: 21 February 2011

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

Full work available at URL: https://arxiv.org/abs/0903.1501

zbMATH Keywords

influencePotts modelsharp thresholdrandom-cluster modelbox-crossingcolored random-cluster modelfuzzy Potts modelIsing model, percolation

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

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