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arXiv · 2202.02747

Ensembles de petite somme, structure de sous-criticité

Robin Riblet
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Abstract

If $A$ and $B$ are two bounded sets of reals, Ruzsa proved a precise lower bound of the measure of the sumset $A+B$ involving the ratio $λ(A)/λ(B)$. De Roton established a structural result about the critical sets of this lower bound. Here, we prove a generalization of de Roton's work by establishing a result in a neighborhood of the case of equality.

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Robin Riblet. 2022-02-06. Ensembles de petite somme, structure de sous-criticité. https://arxiv.org/abs/2202.02747

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