BALANCED CONVEX PARTITIONS OF MEASURES IN ℝ d

DOI10.1112/S0025579311001914zbMath1267.28005arXiv1010.6191MaRDI QIDQ3115488

Pablo Soberón

Publication date: 10 February 2012

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.6191

zbMATH Keywords

ham sandwich theoreminterior-disjoint convex parts

Mathematics Subject Classification ID

Length, area, volume, other geometric measure theory (28A75)

Related Items (14)

Measure partitions using hyperplanes with fixed directions ⋮ A survey of mass partitions ⋮ Discrete geometry on colored point sets in the plane -- a survey ⋮ Near equipartitions of colored point sets ⋮ Cutting the same fraction of several measures ⋮ Thieves can make sandwiches ⋮ Convex equipartitions of colored point sets ⋮ Convex equipartitions: the spicy chicken theorem ⋮ Cutting polygons into small pieces with chords: Laser-based localization ⋮ Balanced convex partitions of lines in the plane ⋮ Unnamed Item ⋮ An extension of a theorem of Yao and Yao ⋮ CUTTING A PART FROM MANY MEASURES ⋮ Counterexamples to the colorful Tverberg conjecture for hyperplanes

Cites Work

• Balanced convex partitions of measures in \(\mathbb R^{2}\)
• Minkowski-type theorems and least-squares clustering
• Simple proofs of some Borsuk-Ulam results
• The Early History of the Ham Sandwich Theorem
• Unnamed Item

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