Spherical designs via Brouwer fixed point theorem
classification
🧮 math.NA
cs.NA
keywords
sphericalbrouwerconsistingconstantdependingdesignsexistencefixed
read the original abstract
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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