On the Yao-Yao partition theorem
arXiv:1011.2123 · doi:10.1007/s00013-009-3013-9
Abstract
The Yao-Yao partition theorem states that given a probability measure on an affine space of dimension n having a density which is continuous and bounded away from 0, it is possible to partition the space into 2^n regions of equal measure in such a way that every affine hyperplane avoids at least one of the regions. We give a constructive proof of this result and extend it to slightly more general measures.
10 pages, file might be slightly different from the published version