Quantum Chaos on random Cayley graphs of ${\mathrm{SL}}_2[\mathbb{Z}/p\mathbb{Z}]$

Igor Rivin, Naser T. Sardari

We investigate the statistical behavior of the eigenvalues and diameter of random Cayley graphs of ${\mathrm{SL}}_2[\mathbb{Z}/p\mathbb{Z}]$ %and the Symmetric group $S_n$ as the prime…