Puissances et logarithmes de corps convexes

Translated title of the contribution: Powers and logarithms of convex bodies

Vitali Milman, Liran Rotem

Research output: Contribution to journalArticle

3 Scopus citations

Abstract

Do we have enough examples of convex bodies that we truly understand? Is out standard set of examples diverse enough to understand convexity? In this note, we will dramatically increase our set of examples. More specifically, we will present several new constructions of convex bodies: the geometric mean of two convex bodies, the power function Kα (which in general exists only for |α|≤1), and even the logarithm log⁡K.

Translated title of the contributionPowers and logarithms of convex bodies
Original languageFrench
Pages (from-to)981-986
Number of pages6
JournalComptes Rendus Mathematique
Volume355
Issue number9
DOIs
StatePublished - Sep 2017

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