# Ensembles de petite somme, structure de sous-criticité

Abstract : If $A$ and $B$ are two bounded sets of reals, Ruzsa proved a precise lower bound of the mesure of the sumset $A+B$ involving the ratio $\lambda(A)/\lambda(B)$. 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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Preprints, Working Papers, ...
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https://hal.univ-lorraine.fr/hal-03559173
Contributor : Robin Riblet Connect in order to contact the contributor
Submitted on : Sunday, February 6, 2022 - 10:51:48 AM
Last modification on : Tuesday, February 8, 2022 - 3:38:01 AM
Long-term archiving on: : Saturday, May 7, 2022 - 6:03:37 PM

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• HAL Id : hal-03559173, version 1

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Robin Riblet. Ensembles de petite somme, structure de sous-criticité. 2022. ⟨hal-03559173⟩

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