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arXiv · 2312.13922

Convexity properties of sections of 1-symmetric bodies and Rademacher sums

Joseph Kalarickal·David Rotunno·Salil Singh·Tomasz Tkocz
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Abstract

We establish a monotonicity-type property of volume of central hyperplane sections of the 1-symmetric convex bodies, with applications to chessboard cutting. We parallel this for projections with a new convexity-type property for Rademacher sums.

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Joseph Kalarickal, David Rotunno, Salil Singh, Tomasz Tkocz. 2024-06-16. Convexity properties of sections of 1-symmetric bodies and Rademacher sums. https://arxiv.org/abs/2312.13922

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