On the two-point function of the Potts model in the saturation regime

Yacine Aoun, Sébastien Ott, Yvan Velenik

We consider the Random-Cluster model on ${\mathbb{Z}}^d$ with interactions of infinite range of the form $J_x=\psi (x){\mathsf{e}}^{-\rho (x)}$ with $\rho$ a norm on ${\mathbb{Z}}^d$ and $\psi$ a su…