Asymptotic representation theory and the spectrum of a random geometric graph on a compact Lie group

Pierre-Loïc Méliot

Let $G$ be a compact Lie group, $N\ge 1$ and $L>0$. The random geometric graph on $G$ is the random graph $\Gamma (N,L)$ whose vertices are $N$ random points $g_1,\dots ,g_N$ chosen und…