Small-scale equidistribution for random spherical harmonics

Matthew de Courcy-Ireland

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arXiv · 1711.01317

Small-scale equidistribution for random spherical harmonics

Matthew de Courcy-Ireland

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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.

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Matthew de Courcy-Ireland. 2017-11-01. Small-scale equidistribution for random spherical harmonics. https://arxiv.org/abs/1711.01317

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