On the Yao-Yao partition theorem
Functional Analysis
2010-11-10 v1 Combinatorics
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.
Keywords
Cite
@article{arxiv.1011.2123,
title = {On the Yao-Yao partition theorem},
author = {Joseph Lehec},
journal= {arXiv preprint arXiv:1011.2123},
year = {2010}
}
Comments
10 pages, file might be slightly different from the published version