Bisecting measures with hyperplane arrangements

Abstract

We show that when $n$ is a power of two, any $nD$ measures in ${\mathbb{R}}^n$ can be bisected by an arrangement of $D$ hyperplanes.

arXiv comment7 pages

References in corpus (1)

• Sharing a pizza: bisecting masses with two cuts

Cited by in corpus (2)

• More bisections by hyperplane arrangements
• Transversal generalizations of hyperplane equipartitions