39 citations · 66 across the 23 of their papers we have counts for
Showing math.SPShow all
2 papers · 1 filter
math.SP2016
Equidistribution of random waves on small balls
Xiaolong Han, Melissa Tacy
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 s…
math.SP2015★ 14 cited
Small scale equidistribution of random eigenbases
Xiaolong Han
We investigate small scale equidistribution of random orthonormal bases of eigenfunctions (i.e. eigenbases) on a compact manifold M. Assume that the group of isometries acts transi…