From the 1 of 8 linked papers with an AI index.
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Mixed volumes of zonoids and the absolute value of the Grassmannian
Gennadiy Averkov, Katherina von Dichter, Simon Richard +1
The paper develops a combinatorial framework linking mixed volumes of zonoids with the absolute value image of the Grassmannian, and uses polyhedral computations to produce new Min…
Nonnegativity of signomials with Newton simplex over -convex sets
Gennadiy Averkov, Jonas Ellwanger, Thorsten Theobald +1
We study a class of signomials whose positive support is the set of vertices of a simplex and which may have several negative support points in the simplex. Various groups of autho…
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…