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arXiv · 1112.4900

Small Designs for Path Connected Spaces and Path Connected Homogeneous Spaces

Daniel M. Kane
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Abstract

We prove the existence of designs of small size in a number of contexts. In particular our techniques can be applied to prove the existence of $n$-designs on $S^{d}$ of size $O_d(n^{d}\log(n)^{d-1})$.

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Daniel M. Kane. 2012-06-25. Small Designs for Path Connected Spaces and Path Connected Homogeneous Spaces. https://arxiv.org/abs/1112.4900

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