We prove Ornstein–Zernike behaviour in every direction for finite connection functions of the random cluster model on Zd, d≥3, for q≥1, when occupation probabilities of the bonds are close to $$1.$$1. Moreover, we prove that equi-decay surfaces are locally analytic, strictly convex, with positive Gaussian curvature. © 2015, Springer Science+Business Media New York.
On the Ornstein-Zernike Behaviour for the Supercritical Random-Cluster Model on $Z^d$, $d \ge 3$ / Massimo Campanino; Michele Gianfelice. - In: JOURNAL OF STATISTICAL PHYSICS. - ISSN 0022-4715. - STAMPA. - 159:6(2015), pp. 1456-1476. [10.1007/s10955-015-1222-0]
On the Ornstein-Zernike Behaviour for the Supercritical Random-Cluster Model on $Z^d$, $d \ge 3$.
CAMPANINO, MASSIMO;GIANFELICE, MICHELE
2015
Abstract
We prove Ornstein–Zernike behaviour in every direction for finite connection functions of the random cluster model on Zd, d≥3, for q≥1, when occupation probabilities of the bonds are close to $$1.$$1. Moreover, we prove that equi-decay surfaces are locally analytic, strictly convex, with positive Gaussian curvature. © 2015, Springer Science+Business Media New York.File in questo prodotto:
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