13 citations · 47 across the 16 of their papers we have counts for
18 papers
Volume Product
Matthieu Fradelizi, Mathieu Meyer, Artem Zvavitch
Our purpose here is to give an overview of known results and open questions concerning the volume product of a convex…
On the volume of the Minkowski sum of zonoids
Matthieu Fradelizi, Mokshay Madiman, Mathieu Meyer +1
We explore some inequalities in convex geometry restricted to the class of zonoids. We show the equivalence, in the class of zonoids, between a local Alexandrov-Fenchel inequality,…
Equipartitions and Mahler volumes of symmetric convex bodies
Matthieu Fradelizi, Alfredo Hubard, Mathieu Meyer +2
Following ideas of Iriyeh and Shibata we give a short proof of the three-dimensional Mahler conjecture {\mf for symmetric convex bodies}. Our contributions include, in particular,…
Ellipsoids are the only local maximizers of the volume product
Mathieu Meyer, Shlomo Reisner
Using previous results about shadow systems and Steiner symmetrization, we prove that the local maximizers of the volume product of convex bodies are actually the global maximizers…
Generalized Grünbaum inequality
M. Meyer, F. Nazarov, D. Ryabogin +1
Let be an integrable log-concave function on with the center of mass at the origin. We show that $\int\limits_0^{\infty}f(sθ)ds\ge e^{-n}\int\limits_{-\infty}^{…
On the volume of sections of a convex body by cones
Matthieu Fradelizi, Mathieu Meyer, Vlad Yaskin
Let be a convex body in . We prove that in small codimensions, the sections of a convex body through the centroid are quite symmetric with respect to volume. As a…