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math.MG2026
Uniqueness of Flotation and Buoyancy Surfaces for Convex Polytopes
Susanna Dann, Orli Herscovici, Sergii Myroshnychenko
We prove that a convex polytope , , of uniform density floating in a liquid of density , is uniquely determined by its surface of f…
math.MG2023
Stability and the equality case in the B-theorem
Orli Herscovici, Galyna V. Livshyts, Liran Rotem +1
In this paper, we show the stability, and characterize the equality cases in the strong B-inequality of Cordero-Erasquin, Fradelizi and Maurey \cite{B-conj}. As an application, we…