50 citations · 126 across the 32 of their papers we have counts for
40 papers
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…
Entropic analogues of Grünbaum's inequality
Matthieu Fradelizi, Lampros Gavalakis, Martin Rapaport
The classical Grünbaum inequality asserts that the proportion of the volume of a convex body cut off by a halfspace containing its barycenter is at least . From its functional…
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…
Grünbaum's inequality for Gaussian and convex probability measures
Matthieu Fradelizi, Dylan Langharst, Jiaqian Liu +2
A celebrated result in convex geometry is Grünbaum's inequality, which quantifies how much volume of a convex body can be cut off by a hyperplane passing through its barycenter. In…