Affiliation:
1. New College, University of Oxford Oxford UK
2. Mathematical Institute, University of Oxford Oxford UK
Abstract
AbstractWe show for of equal volume and that if , then (up to translation) is bounded. This establishes the sharp threshold for the quantitative stability of the Brunn–Minkowski inequality recently established by Figalli, van Hintum, and Tiba, the proof of which uses our current result. We additionally establish a similar sharp threshold for iterated sumsets.
Funder
European Research Council
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