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20092026
most citedA remark on the Mahler conjecture: local minimality of the unit cube

60 citations · 80 across the 17 of their papers we have counts for

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Showing 2012Show all

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math.MG2012

On counterexamples in questions of unique determination of convex bodies

Dmitry Ryabogin, Vlad Yaskin

We discuss a construction that gives counterexamples to various questions of unique determination of convex bodies.

math.MG2012

An asymmetric convex body with maximal sections of constant volume

Fedor Nazarov, Dmitry Ryabogin, Artem Zvavitch

We show that in all dimensions d>2, there exists an asymmetric convex body of revolution all of whose maximal hyperplane sections have the same volume. This gives the negative answ…