Lucas D’Alimonte

Near-Critical Ornstein–Zernike Theory for the Planar Random-Cluster Model

Abstract We develop an Ornstein–Zernike theory for the two-dimensional random-cluster model with $$1 \le q <4$$ 1 ≤ q < 4 that also applies in its near-critical regime. In particular, we prove an asymptotic formula for the two-point function which holds uniformly for $$p < p_c$$...