On the Ornstein-Zernike Behaviour for the Bernoulli Bond Percolation on $pmb{mathbb{Z}}^{d},dgeq3$, in the Supercritical Regime |
| |
| Authors: | M. Campanino M. Gianfelice |
| |
| Affiliation: | 1.Dipartimento di Matematica,Università degli Studi di Bologna,Bologna,Italy;2.Dipartimento di Matematica,Università della Calabria,Arcavacata di Rende,Italy |
| |
| Abstract: | We prove Ornstein-Zernike behaviour in every direction for finite connection functions of bond percolation on ℤ d for d≥3 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. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
