02-494 G. A. Braga, A. Procacci, R. Sanchis
Ornstein-Zernike behavior for the Bernoulli bond percolation on $\mathbb{Z}^d$ in the supercritical regime (77K, Latex) Nov 27, 02
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Abstract. We derive an Ornstein-Zernike asymptotic formula for the decay of the two point finite connectivity function $\t^{\rm f}_{x,y}(p)$ of the Bernoulli bond percolation process on $\Z^d$, along the principal directions, for $d\ge 3$, and for supercritical values of $p$ sufficiently near to $p=1$.

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