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A note on Bourgain's slicing problem

Published 12 Dec 2024 in math.MG | (2412.09075v1)

Abstract: This note is to study Bourgain's slicing problem following the routes investigated in the last decade. We show that the slicing constant $L_n$ is bounded by $C\log(\log n) $, $n\geq 3$, for some universal constant $C$.

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