Mathematics > Functional Analysis
[Submitted on 3 Oct 2022 (v1), last revised 21 Jun 2023 (this version, v3)]
Title:Extremal sections and projections of certain convex bodies: a survey
View PDFAbstract:We survey results concerning sharp estimates on volumes of sections and projections of certain convex bodies, mainly $\ell_p$ balls, by and onto lower dimensional subspaces. This subject emerged from geometry of numbers several decades ago and since then has seen development of a variety of probabilistic and analytic methods, showcased in this survey.
Submission history
From: Tomasz Tkocz [view email][v1] Mon, 3 Oct 2022 12:39:20 UTC (44 KB)
[v2] Tue, 13 Jun 2023 17:17:00 UTC (44 KB)
[v3] Wed, 21 Jun 2023 11:19:56 UTC (44 KB)
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