Subconvexity Implies Effective Quantum Unique Ergodicity for Hecke-Maaß Cusp Forms on ${\mathrm{SL}}_2(\mathbb{Z})\backslash {\mathrm{SL}}_2(\mathbb{R})$

Ankit Bisain, Peter Humphries, Andrei Mandelshtam +2

It is a folklore result in arithmetic quantum chaos that quantum unique ergodicity on the modular surface with an effective rate of convergence follows from subconvex bounds for ce…