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20042026
most citedA remark on the Mahler conjecture: local minimality of the unit cube

60 citations · 154 across the 30 of their papers we have counts for

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Showing 2017Show all

2 papers · 1 filter

math.MG2017

Polytopes of Maximal Volume Product

Matthew Alexander, Matthieu Fradelizi, Artem Zvavitch

For a convex body , let $K^z = \{y\in{\mathbb R}^n : \langle y-z, x-z\rangle\le 1, \mbox{\ for all\ } x\in K\}$ be the polar body of with respect to th…

math.FA2017★ 5 cited

The convexification effect of Minkowski summation

Matthieu Fradelizi, Mokshay Madiman, Arnaud Marsiglietti +1

Let us define for a compact set the sequence $$ A(k) = \left\{\frac{a_1+\cdots +a_k}{k}: a_1, \ldots, a_k\in A\right\}=\frac{1}{k}\Big(\underset{k\ {\rm ti…