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, $W_{\hat{I}}“$, whose presentation graph $\hat{I}“$ is taken to be an Erdős--Rényi random graph, i.e., $\hat{I}“\sim {\mathcal{G}}_{n,p}$. We use techni…