13 citations · 34 across the 19 of their papers we have counts for
15 papers · 1 filter
Volume and Projection Inequalities II: Determinants and -Sums
Matthieu Fradelizi, Auttawich Manui, Cheikh Saliou Ndiaye +1
We study inequalities for the volume of orthogonal projections and their relation to Firey -sum, together with their determinant-power analogues, motivated by the Dembo--Cover…
Volume and Projection Inequalities I: Zonoids and Courtade's Conjecture
Matthieu Fradelizi, Alfredo Hubard, Auttawich Manui +3
We study volume and projection inequalities for zonoids through the multiaffine determinant polynomials that encode their volumes. We show that a log-submodularity conjecture for t…
L_p-Rogers--Shephard type inequalities for L_p-zonoids and symmetric bodies
Matthieu Fradelizi, Auttawich Manui, Mark Meyer +1
We study generalizations of the classical Rogers--Shephard inequalities in the framework of Firey -summation. We first consider the class of asymmetric -zonoids. In this…
Equality cases for the -Rogers--Shephard inequality in the plane and for locally anti-blocking bodies in
Matthieu Fradelizi, Auttawich Manui, Mark Meyer +1
The classical Rogers--Shephard inequalities were extended to the Firey -summation by Bianchini and Colesanti in the plane and by Zvavitch and the second and fourth authors for…
Entropy, slicing problem and functional Mahler's conjecture
Matthieu Fradelizi, Francisco Marín Sola
In a recent work, Bo'az Klartag showed that, given a convex body with minimal volume product, its isotropic constant is related to its volume product. As a consequence, he obtained…
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…