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arXiv · 2605.29680

Sumsets of random sets

Rajko Nenadov·Lander Verlinde
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Abstract

Given $m \in \mathbb{N}$ and a $p$-random subset $A \subseteq \mathbb{N}$, we asymptotically determine $\log \Pr(|\mathbb{N} \setminus (A + A)| \ge m)$ for $p$ above the threshold for this property. The proof is based on a bespoke container argument.

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Rajko Nenadov, Lander Verlinde. 2026-05-28. Sumsets of random sets. https://arxiv.org/abs/2605.29680

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