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Szarek and Ball made simple

Colin Tang, Tomasz Tkocz

Source record

Source: arXiv

Published: Oct 20, 2026

arXiv: 2610.28384

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Source abstract

We present proofs of Szarek's moment comparison and Ball's cube slicing inequalities based on elementary convexity and majorisation. The key ingredient is a moment-lifting argument which allows us to use Schur monotonicity, avoiding the integral inequalities used in the original Fourier-analytic approaches.

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