On the Yao-Yao partition theorem

Details On the Yao-Yao partition theorem On the Yao-Yao partition theorem

2010-11-09

arxiv.org/abs/1011.2123v1

Arch. Math. 92 (4) (2009) 366-376

Mathematics

Functional Analysis

10 pages, file might be slightly different from the published version

Scientific paper

10.1007/s00013-009-3013-9

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.

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