Small designs for path-connected spaces and path-connected homogeneous spaces

Kane, Daniel

doi:10.1090/tran/6250

Small designs for path-connected spaces and path-connected homogeneous spaces
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by Daniel M. Kane PDF

Trans. Amer. Math. Soc. 367 (2015), 6387-6414 Request permission

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 $O_d(n^{d}\log ^{d-1}(n))$.

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