Exponential improvements for superball packing upper bounds

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dc.contributor.author	Sah, Ashwin
dc.contributor.author	Sawhney, Mehtaab
dc.contributor.author	Stoner, David
dc.contributor.author	Zhao, Yufei
dc.date.accessioned	2021-10-27T20:34:23Z
dc.date.available	2021-10-27T20:34:23Z
dc.date.issued	2020
dc.identifier.uri	https://hdl.handle.net/1721.1/136231
dc.description.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).
dc.language.iso	en
dc.publisher	Elsevier BV
dc.relation.isversionof	10.1016/J.AIM.2020.107056
dc.rights	Creative Commons Attribution-NonCommercial-NoDerivs License
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.source	arXiv
dc.title	Exponential improvements for superball packing upper bounds
dc.type	Article
dc.relation.journal	Advances in Mathematics
dc.eprint.version	Author's final manuscript
dc.type.uri	http://purl.org/eprint/type/JournalArticle
eprint.status	http://purl.org/eprint/status/PeerReviewed
dc.date.updated	2021-06-01T17:38:25Z
dspace.orderedauthors	Sah, A; Sawhney, M; Stoner, D; Zhao, Y
dspace.date.submission	2021-06-01T17:38:26Z
mit.journal.volume	365
mit.license	PUBLISHER_CC
mit.metadata.status	Authority Work and Publication Information Needed