Contact Graphs, Boundaries, and a Central Limit Theorem for CAT(0) cubical complexes

Talia Fernós, Jean Lécureux, Frédéric Mathéus

Let $X$ be a nonelementary CAT(0) cubical complex. We prove that if $X$ is essential and irreducible, then the contact graph of $X$ (introduced in \cite{Hagen}) is unbounded and it…