1 citations · 1 across the 4 of their papers we have counts for
5 papers
Higher-order Godbersen inequality and a characterization of simplices via the face lattice
Filip Fryš, Jan Kotrbatý, Mohamed A. Mouamine +1
We settle the long-standing Godbersen conjecture that the mixed volume of a convex body of fixed positive volume with its reflection about the origin is maximized precisely by simp…
Godbersen's conjecture and the -Rogers-Shephard inequality
Jan Kotrbatý, Mohamed A. Mouamine
We prove that the mixed volume of a convex body of fixed positive volume with its reflection about the origin is maximized by simplices. This confirms a conjecture of C. Godbersen…
Additive Kinematic Formulas for Functional Minkowski Vectors
Mohamed A. Mouamine
We establish an additive kinematic formula for the functional Minkowski vectors using mixed Monge-Ampère measures. These vectors, recently introduced and characterized by the autho…
The Vectorial Hadwiger Theorem on Convex Functions
Mohamed A. Mouamine, Fabian Mussnig
A complete classification of continuous, dually epi-translation invariant, and rotation equivariant valuations on convex functions is established. This characterizes the recently i…
A Klain-Schneider Theorem for Vector-Valued Valuations on Convex Functions
Mohamed A. Mouamine, Fabian Mussnig
A functional analog of the Klain-Schneider theorem for vector-valued valuations on convex functions is established, providing a classification of continuous, translation covariant,…