On the Ornstein-Zernike behaviour for the supercritical Random-Cluster model on $\mathbb{Z}^{d},d\geq3.$
Probability
2022-04-13 v1 Mathematical Physics
math.MP
Abstract
We prove Ornstein-Zernike behaviour in every direction for finite connection functions of the random cluster model on for when occupation probabilities of the bonds are close to Moreover, we prove that equi-decay surfaces are locally analytic, strictly convex, with positive Gaussian curvature.
Keywords
Cite
@article{arxiv.1503.04239,
title = {On the Ornstein-Zernike behaviour for the supercritical Random-Cluster model on $\mathbb{Z}^{d},d\geq3.$},
author = {M. Campanino and M. Gianfelice},
journal= {arXiv preprint arXiv:1503.04239},
year = {2022}
}
Comments
The final publication is available at Springer via http://dx.doi.org/10.1007/s10955-015-1222-0. arXiv admin note: text overlap with arXiv:1104.1595