A proof of a conjecture by Haviv, Lyubashevsky and Regev on the second moment of a lattice Voronoi cell
Author:
Affiliation:
1. Tel Aviv University , School of Mathematical Sciences , Ramat Aviv , Tel Aviv , 69978 , Israel
Abstract
Publisher
Walter de Gruyter GmbH
Subject
Geometry and Topology
Link
https://www.degruyter.com/document/doi/10.1515/advgeom-2018-0018/pdf
Reference8 articles.
1. S. Artstein-Avidan, A. Giannopoulos, V. D. Milman, Asymptotic geometric analysis. Part I, volume 202 of Mathematical Surveys and Monographs. Amer. Math. Soc. 2015. MR3331351 Zbl 1337.52001
2. L. Danzer, B. Grünbaum, Über zwei Probleme bezüglich konvexer Körper von P. Erdős und von V. L. Klee. Math. Z. 79 (1962), 95–99. MR0138040 Zbl 0188.27602
3. M. M. Deza, M. Laurent, Geometry of cuts and metrics, volume 15 of Algorithms and Combinatorics. Springer 2010. MR2841334 Zbl 1210.52001
4. I. Haviv, V. Lyubashevsky, O. Regev, A note on the distribution of the distance from a lattice. Discrete Comput. Geom. 41 (2009), 162–176. MR2470075 Zbl 1163.68040
5. M. W. Meckes, Sylvester’s problem for symmetric convex bodies and related problems. Monatsh. Math. 145 (2005), 307–319. MR2162349 Zbl 1081.52008
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