  In this paper, we investigate the small scale equidistribution properties of
randomised sums of Laplacian eigenfunctions (i.e. random waves) on a compact
manifold. We prove small scale expectation and variance results for random
waves on all compact manifolds. Here, "small scale" refers to balls of radius
$r(\lambda)\to 0$ such that $r/r_{\text{Planck}}\to\infty$, where
$r_{\text{Planck}}$ is the Planck scale. For balls at a larger scale (although
still $r(\lambda)\to 0$) we also obtain estimates showing that the probability
that a random wave fails to equidistribute decays exponentially with the
eigenvalue.
