Improved ${\ell }_0$-Isoperimetry for Convex Bodies via Mass Transport

Manuel Fernandez

We study ${\ell }_0$ isoperimetry for a convex body $K\subset {\mathbb{R}}^n$, $n\ge 2$. For a Borel set $S\subset K$, let ${\partial }_0^{K}S$ be the set of points in $K\setminus S$ that c…