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math.NA2014★ 29 cited
Computing mixed volume and all mixed cells in quermassintegral time
Gregorio Malajovich
The mixed volume counts the roots of generic sparse polynomial systems. Mixed cells are used to provide starting systems for homotopy algorithms that can find all those roots, and…
math.NA2014
Average mixed volume under projection
Gregorio Malajovich
The average mixed volume of a random projection of convex bodies in is bounded above in terms of a quermassintegral.