Connectivity for square percolation and coarse cubical rigidity in random right-angled Coxeter groups

Jason Behrstock, R. Altar Ciceksiz, Victor Falgas-Ravry

We consider random right-angled Coxeter groups, $W_{\Gamma }$, whose presentation graph $\Gamma$ is taken to be an Erdős--Rényi random graph, i.e., $\Gamma \sim {\mathcal{G}}_{n,p}$. We use techniques…