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Variations on (0, s)-Sequences

✍ Scribed by Henri Faure


Book ID
102587886
Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
122 KB
Volume
17
Category
Article
ISSN
0885-064X

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On the discrepancy of (0,1)-sequences
✍ Friedrich Pillichshammer πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 236 KB

We give bounds for the L p -discrepancy, pAN; of the van der Corput sequence in base 2. Further, we give a best possible upper bound for the star discrepancy of ð0; 1Þ-sequences and show that this bound is attained for the van der Corput sequence. Finally, we give a ð0; 1Þsequence with essentially s