Ising model on two-community SBM undergoes uniqueness/non-uniqueness transition almost surely, with magnetization converging to 2- or 4-point Dirac mixtures in supercritical regime and quenched CLT in subcritical uniqueness region.
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The Ising Model on a Two-Community Stochastic Block Model
Ising model on two-community SBM undergoes uniqueness/non-uniqueness transition almost surely, with magnetization converging to 2- or 4-point Dirac mixtures in supercritical regime and quenched CLT in subcritical uniqueness region.