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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…
On the Fourier Mean Bodies of a Convex Body
Dylan Langharst, Auttawich Manui, Artem Zvavitch
In 1998, R. Gardner and G. Zhang introduced the radial th mean bodies of a convex body , , which have since become important objects in geometr…
On the volume of sums of anti-blocking bodies
Auttawich Manui, Cheikh Saliou Ndiaye, Artem Zvavitch
We study inequalities on the volume of Minkowski sum in the class of anti-blocking bodies. We prove analogues of Plünnecke-Ruzsa type inequality and V. Milman inequality on the con…