M. Campanino, M. Gianfelice
Published 2015-03-13Version 1
We prove Ornstein-Zernike behaviour in every direction for finite connection functions of the random cluster model on $\mathbb{Z}^{d},d\geq3,$ for $q\geq1,$ when occupation probabilities of the bonds are close to $1.$ Moreover, we prove that equi-decay surfaces are locally analytic, strictly convex, with positive Gaussian curvature.
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
On the Ornstein-Zernike behaviour for the Bernoulli bond percolation on $\mathbb{Z}^{d},d\geq3,$ in the supercitical regime
Finite-size scaling, phase coexistence, and algorithms for the random cluster model on random graphs
The random cluster model on the complete graph via large deviations
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