Krishnendu Bhowmick

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20222026

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math.CO2023

Large Convex sets in Difference sets

Krishnendu Bhowmick, Ben Lund, Oliver Roche-Newton

We give a construction of a convex set $A \subset R$ with cardinality $n$ such that $A - A$ contains a convex subset with cardinality $Ω (n^{2})$ . We also consider the following…

math.CO2023

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 $S = {s_{1} < \dots < s_{n}}$ be a set of real numbers and let $D_i(S)= \{s_x-s_y: 1 \leq x-y \l…