Expansion in $n^{-1}$ for percolation critical values on the $n$-cube and $Z^n$: the first three terms

Remco van der Hofstad, Gordon Slade

Let $p_c({\mathbb{Q}}_n)$ and $p_c({\mathbb{Z}}^n)$ denote the critical values for nearest-neighbour bond percolation on the $n$-cube ${\mathbb{Q}}_n=\{0,1{\}}^n$ and on ${\mathbb{Z}}^n$, respecti…