Stability of simplex slicing
Metric Geometry
2025-06-23 v3 Functional Analysis
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.
Keywords
Cite
@article{arxiv.2403.11994,
title = {Stability of simplex slicing},
author = {Serhii Myroshnychenko and Colin Tang and Kateryna Tatarko and Tomasz Tkocz},
journal= {arXiv preprint arXiv:2403.11994},
year = {2025}
}
Comments
Final version. To appear in Discrete Comput. Geom