 01398 Gastao A. Braga, Aldo Procacci, Remy Sanchis
 Analyticity of the ddimensional bond
percolation probability around p=1
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Oct 25, 01

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Abstract. Let $\theta(p)$
be the percolation probability
of a $d$dimensional bond percolation process on $Z^d$.
\\We prove that $1\theta(p)$ can
be written as an absolutely convergent series in powers of $(1p)/p$,
provided that $(1p)/p$ is sufficiently small. This implies that
$\theta(p)$ is an analytic function
of the complex variable $p$, around $p=1$.
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