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math.MG2024
The Complex Illumination Problem
Liran Rotem, Alon Schejter, Boaz A. Slomka
We formulate a complex analog of the celebrated Levi-Hadwiger-Boltyanski illumination (or covering) conjecture for complex convex bodies in C^n, as well as its (non-comparable) fra…
math.FA2024
On weighted Blaschke--Santalo and strong Brascamp--Lieb inequalities
Andrea Colesanti, Alexander Kolesnikov, Galyna Livshyts +1
In this paper, we study new extensions of the functional Blaschke-Santaló inequalities, and explore applications of such new inequalities beyond the classical setting of the standa…