A note on optimal point distributions in [0,1)s

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摘要

In this note we determine the infimum of the L2-, the star- and the extreme discrepancy taken over all 2-element point sets in the s-dimensional unit cube. Moreover we give very good bounds on the infimum of the isotropic discrepancy taken over all (s+1)-element point sets in [0,1)s.

论文关键词:11K38,52A40,L2-, star, extreme- and isotropic discrepancy

论文评审过程:Received 1 June 2006, Revised 10 August 2006, Available online 20 October 2006.

论文官网地址:https://doi.org/10.1016/j.cam.2006.09.004