3 papers
math.MG2026
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…
math.MG2026
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…
math.MG2026
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…