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math.MG2021
Improved log-concavity for rotationally invariant measures of symmetric convex sets
Dario Cordero-Erausquin, Liran Rotem
We prove that the (B) conjecture and the Gardner-Zvavitch conjecture are true for all log-concave measures that are rotationally invariant, extending previous results known for Gau…
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.MG2013
Volume of the polar of random sets and shadow systems
Dario Cordero-Erausquin, Matthieu Fradelizi, Grigoris Paouris +1
We obtain optimal inequalities for the volume of the polar of random sets, generated for instance by the convex hull of independent random vectors in Euclidean space. Extremizers a…