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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.MG2021★ 8 cited
Fiber Convex Bodies
Léo Mathis, Chiara Meroni
In this paper we study the fiber body, that is the extension of the notion of fiber polytopes for more general convex bodies. After giving an overview of the properties of the fibe…
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…