- 01-398 Gastao A. Braga, Aldo Procacci, Remy Sanchis
- Analyticity of the d-dimensional bond
percolation probability around p=1
Oct 25, 01
(auto. generated ps),
of related papers
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 $p=1$.