<p>We establish dimension-free stability of Webb’s sharp simplex slicing (1996). Incidentally, we show the Lipschitzness of volume of central sections of arbitrary (not necessarily symmetric) convex bodies.</p>

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Stability of Simplex Slicing

  • Sergii Myroshnychenko,
  • Colin Tang,
  • Kateryna Tatarko,
  • Tomasz Tkocz

摘要

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