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Article Dans Une Revue Archiv der Mathematik Année : 2009

On the Yao-Yao partition theorem

Résumé

The Yao-Yao partition theorem states that for any probability measure µ on R n having a density which is continuous and bounded away from 0, it is possible to partition R n into 2 n regions of equal measure for µ in such a way that every affine hyperplane of R n 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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Dates et versions

hal-00453595 , version 1 (07-01-2017)

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Joseph Lehec. On the Yao-Yao partition theorem. Archiv der Mathematik, 2009, 92 (4), pp.366 - 376. ⟨10.1007/s00013-009-3013-9⟩. ⟨hal-00453595⟩
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