2 papers
math.MG2026
A discrete approach to the functional Zhang's projection inequality
David Alonso-Gutiérrez, Julia Sánchez-Loscertales
In this paper, we focus our attention on the following inequality, which holds for any integrable log-concave function with positive integral , and gives an inclusion between th…
math.MG2026
On Sections of Convex Bodies in John's Position and of Generalised Balls
David Alonso-Gutiérrez, Silouanos Brazitikos, Giorgos Chasapis
We revisit an ingenious argument of K. Ball to provide sharp estimates for the volume of sections of a convex body in John's position. Our technique combines the geometric Brascamp…