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math.MG2024
The Dyn-Farkhi conjecture and the convex hull of a sumset in two dimensions
Mark Meyer
For a compact set in the Hausdorff distance from to is defined by \begin{equation*} d(A):=\sup_{a\in\text{conv}(A)}\inf_{x\in A}|x-a|, \end{…
math.MG2024
Measuring the convexity of compact sumsets with the Schneider non-convexity index
Mark Meyer
In recent work, Franck Barthe and Mokshay Madiman introduced the concept of the Lyusternik region, denoted by , to better understand volumes of sumsets. They gave a chara…