We prove Ornstein-Zernike behaviour in every direction for finite connection functions of bond percolation on a"currency sign (d) for da parts per thousand yen3 when p, the probability of occupation of a bond, is sufficiently 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 Bernoulli Bond Percolation on Z(d), d >= 3, in the Supercritical Regime
GIANFELICE, Michele
2011-01-01
Abstract
We prove Ornstein-Zernike behaviour in every direction for finite connection functions of bond percolation on a"currency sign (d) for da parts per thousand yen3 when p, the probability of occupation of a bond, is sufficiently 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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