Diameter Bounded Equal Measure Partitions of Ahlfors Regular Metric Measure Spaces

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• 作者：Giacomo Gigante ; Paul Leopardi
• 关键词：Partition ; Measure ; Diameter ; Ahlfors regular ; Metric measure space
• 刊名：Discrete & Computational Geometry
• 出版年：2017
• 出版时间：March 2017
• 年：2017
• 卷：57
• 期：2
• 页码：419-430
• 全文大小：
• 刊物类别：Mathematics and Statistics
• 刊物主题：Combinatorics; Computational Mathematics and Numerical Analysis;
• 出版者：Springer US
• ISSN：1432-0444
• 卷排序：57

文摘

The algorithm devised by Feige and Schechtman for partitioning higher dimensional spheres into regions of equal measure and small diameter is combined with David’s and Christ’s constructions of dyadic cubes to yield a partition algorithm suitable to any connected Ahlfors regular metric measure space of finite measure.