Diameter Bounded Equal Measure Partitions of Ahlfors Regular Metric Measure Spaces

Giacomo Gigante; Paul Leopardi

doi:10.1007/s00454-016-9834-y

Diameter Bounded Equal Measure Partitions of Ahlfors Regular Metric Measure Spaces

Giacomo Gigante, Paul Leopardi^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

20 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	419-430
Number of pages	12
Journal	Discrete and Computational Geometry
Volume	57
Issue number	2
DOIs	https://doi.org/10.1007/s00454-016-9834-y
Publication status	Published - 1 Mar 2017
Externally published	Yes

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title = "Diameter Bounded Equal Measure Partitions of Ahlfors Regular Metric Measure Spaces",

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

keywords = "Ahlfors regular, Diameter, Measure, Metric measure space, Partition",

author = "Giacomo Gigante and Paul Leopardi",

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KW - Diameter

KW - Measure

KW - Metric measure space

KW - Partition

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Diameter Bounded Equal Measure Partitions of Ahlfors Regular Metric Measure Spaces

Abstract

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