Gastao A. Braga, Aldo Procacci, Remy Sanchis
Analyticity of the d-dimensional bond 
percolation probability around p=1
(501K, PostScript)

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 $(1-p)/p$, 
provided that $|(1-p)/p|$ is sufficiently small. This implies that 
$\theta(p)$ is an analytic function 
of the complex variable $p$, around $p=1$.