Spherical cap discrepancy of the Diamond ensemble
Numerical Analysis
2019-10-14 v1 Numerical Analysis
Abstract
We compute the spherical cap discrepancy of the Diamond ensemble (a set of evenly distributed spherical points) as well as some other quantities. We also define an area regular partition on the sphere where each region contains exactly one point of the Diamond ensemble. For a concrete choice of parameters, we prove that the Diamond ensemble provides the best spherical cap discrepancy known until date for a deterministic family of points.
Cite
@article{arxiv.1910.05140,
title = {Spherical cap discrepancy of the Diamond ensemble},
author = {Ujué Etayo},
journal= {arXiv preprint arXiv:1910.05140},
year = {2019}
}