Small Designs for Path Connected Spaces and Path Connected Homogeneous Spaces

2011/12/21 by Kane, Daniel M.
#Combinatorics (math.CO) #FOS: Mathematics #Spectral Theory (math.SP)

paper · doi:10.48550/arxiv.1112.4900

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^dlog(n)^d-1).

Related

• The existence of subspace designs
• Pairwise balanced designs with prescribed minimum dimension
• Nontrivial t-designs in polar spaces exist for all t
• A short proof of the existence of designs
• Lower bounds for designs in symmetric spaces