Optimal asymptotic bounds for spherical designs - Mathematics > Metric GeometryReport as inadecuate




Optimal asymptotic bounds for spherical designs - Mathematics > Metric Geometry - Download this document for free, or read online. Document in PDF available to download.

Abstract: In this paper we prove the conjecture of Korevaar and Meyers: for each $N\gec dt^d$ there exists a spherical $t$-design in the sphere $S^d$ consisting of$N$ points, where $c d$ is a constant depending only on $d$.



Author: Andriy Bondarenko, Danylo Radchenko, Maryna Viazovska

Source: https://arxiv.org/







Related documents