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Exponential improvements for superball packing upper bounds
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Exponential improvements for superball packing upper bounds
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Name
1904.11462.pdf
Description
Accepted version
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496.5 KB
Format
Adobe PDF
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a6b30a92ca01d46dae6c74994aa295c8
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sword-2021-06-01T17:38:25.original.xml (130 B)
Original SWORD entry document
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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).
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Terms of Use
Creative Commons Attribution-NonCommercial-NoDerivs License
http://creativecommons.org/licenses/by-nc-nd/4.0/
Persistent DSpace Link
https://hdl.handle.net/1721.1/136231
DOI of Published Version
10.1016/J.AIM.2020.107056
