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• W3198996024 abstract "We study the extreme Lp discrepancy of infinite sequences in the d-dimensional unit cube, which uses arbitrary sub-intervals of the unit cube as test sets. This is in contrast to the classical star Lp discrepancy, which uses exclusively intervals that are anchored in the origin as test sets. We show that for any dimension d and any p>1 , the extreme Lp discrepancy of every infinite sequence in [0,1)d is at least of order of magnitude (logN)d/2 , where N is the number of considered initial terms of the sequence. For p∈(1,∞) , this order of magnitude is best possible." @default.
• W3198996024 created "2021-09-27" @default.
• W3198996024 creator A5052381247 @default.
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• W3198996024 date "2022-02-01" @default.
• W3198996024 modified "2023-10-05" @default.
• W3198996024 title "Exact order of extreme $$L_p$$ discrepancy of infinite sequences in arbitrary dimension" @default.
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• W3198996024 doi "https://doi.org/10.1007/s00013-021-01688-9" @default.
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