On the average volume of sections of convex bodies

Silouanos Brazitikos, Susanna Dann, Apostolos Giannopoulos +1

The average section functional $\mathrm{as}(K)$ of a centered convex body in ${\mathbb{R}}^n$ is the average volume of central hyperplane sections of $K$: \begin{equation*}{\rm as}(K)=…