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 and Christ's construction of dyadic cubes to yield a partition algorithm suitable to any connected Ahlfors regular metric measure space of finite measure.

11 pages, submitted to Discrete and Computational Geometry. Revised to improve motivation in the Introduction, to add Final Remarks, and to add more References

References in corpus (2)

• The covering radius of randomly distributed points on a manifold
• Point distributions in compact metric spaces

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