The Dyn-Farkhi conjecture and the convex hull of a sumset in two dimensions

Mark Meyer

For a compact set $A$ in ${\mathbb{R}}^n$ the Hausdorff distance from $A$ to $\text{conv}(A)$ is defined by \begin{equation*} d(A):=\sup_{a\in\text{conv}(A)}\inf_{x\in A}|x-a|, \end{…