Mean of the $L^{\infty }$-norm for $L^2$-normalized random waves on compact aperiodic Riemannian manifolds

Yaiza Canzani, Boris Hanin

This article concerns upper bounds for $L^{\infty }$-norms of random approximate eigenfunctions of the Laplace operator on a compact aperiodic Riemannian manifold $(M,g).$ We study $f…