Lattice packing and covering of convex bodies
Informatics and Automation, Classical and modern mathematics in the wake of Boris Nikolaevich Delone, Tome 275 (2011), pp. 240-249
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The aim of this article is twofold. First, to indicate briefly major problems and developments dealing with lattice packings and coverings of balls and convex bodies. Second, to survey more recent results on uniqueness of lattice packings and coverings of extreme density, on characterization of local minima and maxima of the density and on estimates of the kissing number. Emphasis is on results in general dimensions.
@article{TRSPY_2011_275_a15,
author = {Peter M. Gruber},
title = {Lattice packing and covering of convex bodies},
journal = {Informatics and Automation},
pages = {240--249},
publisher = {mathdoc},
volume = {275},
year = {2011},
language = {en},
url = {http://geodesic.mathdoc.fr/item/TRSPY_2011_275_a15/}
}
Peter M. Gruber. Lattice packing and covering of convex bodies. Informatics and Automation, Classical and modern mathematics in the wake of Boris Nikolaevich Delone, Tome 275 (2011), pp. 240-249. http://geodesic.mathdoc.fr/item/TRSPY_2011_275_a15/