Spherical designs via Brouwer fixed point theorem

For each N>=c_d*n^{2d*(d+1)/(d+2)} we prove the existence of a spherical n-design on S^d consisting of N points, where c_d is a constant depending only on $d$.

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Veröffentlicht in:	arXiv.org 2008-11
Hauptverfasser:	Bondarenko, Andriy V, Viazovska, Maryna S
Format:	Artikel
Sprache:	eng
Schlagworte:	Fixed points (mathematics) Mathematics - Numerical Analysis
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creator	Bondarenko, Andriy V Viazovska, Maryna S
description	For each N>=c_dn^{2d(d+1)/(d+2)} we prove the existence of a spherical n-design on S^d consisting of N points, where c_d is a constant depending only on $d$.
doi_str_mv	10.48550/arxiv.0811.1416
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subjects	Fixed points (mathematics) Mathematics - Numerical Analysis
title	Spherical designs via Brouwer fixed point theorem
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