A threshold for relative hyperbolicity in random right-angled Coxeter groups

Jason Behrstock, Recep Altar Ciceksiz, Victor Falgas-Ravry

We consider the random right-angled Coxeter group $W_{\Gamma }$ whose presentation graph $\Gamma \sim {\mathcal{G}}_{n,p}$ is an Erd{\H o}s--Rényi random graph on $n$ vertices with edge probabilit…