We prove Ornstein–Zernike behaviour in every direction for finite connectionfunctions of the random cluster model on $\mathbf{Z}^d, d \geq 3$, for $q \geq 1$, when occupation probabilitiesof the bonds are close to 1. Moreover, we prove that equi-decay surfaces are locally analytic,strictly convex, with positive Gaussian curvature.
On the Ornstein-Zernike behaviour for the supercritical Random-Cluster model on $\mathbb{Z}^d, d \geq 3$
GIANFELICE, Michele
2015-01-01
Abstract
We prove Ornstein–Zernike behaviour in every direction for finite connectionfunctions of the random cluster model on $\mathbf{Z}^d, d \geq 3$, for $q \geq 1$, when occupation probabilitiesof the bonds are close to 1. Moreover, we prove that equi-decay surfaces are locally analytic,strictly convex, with positive Gaussian curvature.File in questo prodotto:
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