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.
翻译:大规模分区问题描述我们可以通过将周围空间分割成碎片的方式在欧几里德空间中通过测量或定点组合来诱发的分区。 在这次调查中,我们描述了该地区最近的进展,除了与地形学、离散几何和计算机科学的联系之外。