A survey of mass partitions

Roldán-Pensado, Edgardo; Soberón, Pablo

doi:10.1090/bull/1725

A survey of mass partitions
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Bull. Amer. Math. Soc. 59 (2022), 227-267 Request permission

Abstract:

Mass partition problems describe the partitions we can induce on a family of measures or finite sets of points in Euclidean spaces by dividing the ambient space into pieces. In this survey we describe recent progress in the area in addition to its connections to topology, discrete geometry, and computer science.

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