- 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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