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math.MG2021★ 7 cited
The zonoid algebra, generalized mixed volumes, and random determinants
Paul Breiding, Peter Bürgisser, Antonio Lerario +1
We show that every multilinear map between Euclidean spaces induces a unique, continuous, Minkowski multilinear map of the corresponding real cones of zonoids. Applied to the wedge…
math.MG2020
On tameness of zonoids
Antonio Lerario, Léo Mathis
We prove that in a globally subanalytic family of convex bodies the set of zonoids is log-analytic, and in particular it is definable in the o-minimal structure generated by global…