Exponential improvements for superball packing upper bounds
Name
1904.11462.pdf
Description
Accepted version
Size
496.5 KB
Format
Unknown
Checksum (MD5)
a6b30a92ca01d46dae6c74994aa295c8
Author(s)
Sah, Ashwin
Sawhney, Mehtaab
Stoner, David
Zhao, Yufei
Date Issued
2020
Journal
Advances in Mathematics
Publisher
Elsevier BV
Version
Author's final manuscript
Abstract
© 2020 Elsevier Inc. We prove that for all fixed p>2, the translative packing density of unit ℓp-balls in Rn is at most 2(γp+o(1))n with γp<−1/p. This is the first exponential improvement in high dimensions since van der Corput and Schaake (1936).
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution-NonCommercial-NoDerivs License
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1016/J.AIM.2020.107056
