Percolative properties of the random coprime colouring

Samuel Le Fourn, Mike Liu, Sébastien Martineau

Given $u$ and $v$ in ${\mathbb{Z}}^d$, say that $u$ is visible from $v$ if the segment from $u$ to $v$ contains exactly two elements, which are $u$ and $v$. Take $X$ "uniformly at ra…