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math.PR2019
Shrinking scale equidistribution for monochromatic random waves on compact manifolds
Matthew de Courcy-Ireland
We prove equidistribution at shrinking scales for the monochromatic ensemble on a compact Riemannian manifold of any dimension. This ensemble on an arbitrary manifold takes a slowl…
math.PR2017★ 3 cited
Small-scale equidistribution for random spherical harmonics
Matthew de Courcy-Ireland
We study random spherical harmonics at shrinking scales. We compare the mass assigned to a small spherical cap with its area, and find the smallest possible scale at which, with hi…