Small-scale equidistribution for random spherical harmonics
Probability
2017-11-07 v1
Abstract
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 high probability, the discrepancy between them is small simultaneously at every point on the sphere.
Cite
@article{arxiv.1711.01317,
title = {Small-scale equidistribution for random spherical harmonics},
author = {Matthew de Courcy-Ireland},
journal= {arXiv preprint arXiv:1711.01317},
year = {2017}
}
Comments
20 pages, 1 figure