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math.MG2019★ 5 cited
One more proof of the Alexandrov-Fenchel inequality
D. Cordero-Erausquin, B. Klartag, Q. Merigot +1
We present a short proof of the Alexandrov-Fenchel inequalities for mixed volumes of convex bodies.
math.MG2010
Size of the medial axis and stability of Federer's curvature measures
Quentin Merigot
In this article, we study the (d-1)-volume and the covering numbers of the medial axis of a compact set of the Euclidean d-space. In general, this volume is infinite; however, the…