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arXiv · 2403.11994

Stability of simplex slicing

Serhii Myroshnychenko·Colin Tang·Kateryna Tatarko·Tomasz Tkocz
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Abstract

We establish dimension-free stability of Webb's sharp simplex slicing (1996). Incidentally, we investigate Lipschitzness of volume of hyperplane central sections of arbitrary (not necessarily symmetric) convex bodies.

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Serhii Myroshnychenko, Colin Tang, Kateryna Tatarko, Tomasz Tkocz. 2025-06-19. Stability of simplex slicing. https://arxiv.org/abs/2403.11994

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