Exponential improvements for superball packing upper bounds

© 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).

Bibliographic Details
Main Authors: Sah, Ashwin, Sawhney, Mehtaab, Stoner, David, Zhao, Yufei
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:English
Published: Elsevier BV 2022
Online Access:https://hdl.handle.net/1721.1/136231.2