Local Differences Determined by Convex sets

Krishnendu Bhowmick, Miriam Patry, Oliver Roche-Newton

This paper introduces a new problem concerning additive properties of convex sets. Let $S=\{s_1<\cdots <s_n\}$ be a set of real numbers and let $D_i(S)= \{s_x-s_y: 1 \leq x-y \l…