paper

Mathematical optimization for packing problems

arXiv:1403.1166

Abstract

During the last few years several new results on packing problems were obtained using a blend of tools from semidefinite optimization, polynomial optimization, and harmonic analysis. We survey some of these results and the techniques involved, concentrating on geometric packing problems such as the sphere-packing problem or the problem of packing regular tetrahedra in R^3.

17 pages, written for the SIAG/OPT Views-and-News, (v2) some updates and corrections

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