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math.CO2024
An algebraic-combinatorial proof of a Bezout-type inequality for mixed volumes of three-dimensional zonoids
Gennadiy Averkov, Ivan Soprunov
We present a new algebraic-combinatorial approach to proving a Bezout-type inequality for zonoids in dimension three, which has recently been established by Fradelizi, Madiman, Mey…
math.CO2024
Mixed volumes of zonoids and the absolute value of the Grassmannian
Gennadiy Averkov, Katherina von Dichter, Simon Richard +1
Zonoids are Hausdorff limits of zonotopes, while zonotopes are convex polytopes defined as the Minkowski sums of finitely many segments. We present a combinatorial framework that l…