Well separated spherical designs

2013/03/24 by Andriy Bondarenko, Danylo Radchenko, Bondarenko, Andriy +3 · 1 citation
Engineering · Materials Science · Mathematics · #41A55 #41A63 #52C35 #Combinatorics (math.CO) #Electron and X-Ray Spectroscopy Techniques #FOS: Mathematics #Manufacturing Process and Optimization #Mathematical Approximation and Integration #Metric Geometry (math.MG) #math.CO #math.MG #msc:41A55 #msc:41A63 #msc:52C35

paper · pdf · doi:10.48550/arxiv.1303.5991

25 pages

openalex publication_date 2013/03/24 · arxiv created 2013/07/10 · arxiv updated 2013/07/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For each N≥ C_dt^d we prove the existence of a well separated spherical t-design in the sphere S^d consisting of N points, where C_d is a constant depending only on d.

Citations

• Distributing many points on a sphere

Cited by

• QMC Designs – Cubature on the Sphere Without Polynomial Exactness

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