Exponential improvements for superball packing upper bounds

Author(s)
Sah, Ashwin; Sawhney, Mehtaab; Stoner, David; Zhao, Yufei
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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).
Date issued
2020
URI
https://hdl.handle.net/1721.1/136231.2
Department
Massachusetts Institute of Technology. Department of Mathematics
Journal
Advances in Mathematics
Publisher
Elsevier BV
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21721.1/136231.2*2022-01-11T15:49:43ZAuthority information verified/added.
11721.1/1362312021-10-27T20:34:23Z

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