Potts model (source code)

= Potts model
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{title2=$\pi_{\beta,q}(\sigma)\propto\exp(\beta\sum_{\{x,y\}\in E}\mathbf1_{\sigma_x=\sigma_y})$}
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= Potts measure
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= Potts
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The ferromagnetic <Potts model> on a finite <graph> assigns $q$ possible states to each <graph vertex> and rewards neighbouring equal states by the displayed weight, for $\beta\geq0$. The interaction sum counts each unoriented edge once. The <Edwards-Sokal coupling> identifies its spin clusters with the <random-cluster model> at $p=1-e^{-\beta}$ and integer $q\geq2$.