Well-Separated Spherical Designs

For each N ≥ C d t 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 .

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Bibliographic Details
Published in:Constructive approximation 2015-02, Vol.41 (1), p.93-112
Main Authors: Bondarenko, Andriy, Radchenko, Danylo, Viazovska, Maryna
Format: Article
Language:English
Subjects:
Analysis
Mathematics
Mathematics and Statistics
Numerical Analysis
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Description
Summary:For each N ≥ C d t 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 .
ISSN:0176-4276
1432-0940
DOI:10.1007/s00365-014-9238-2