Lower Bounds on the $$L_p$$ Discrepancy of Digital NUT Sequences

Ralph Kritzinger,Friedrich Pillichshammer

arXiv: Number Theory（2019）

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摘要

We study the $L_p$ discrepancy of digital sequences generated by non-singular upper triangular (NUT) matrices which are an important sub-class of digital (0, 1)-sequences in the sense of Niederreiter. The main result is a lower bound for certain sub-classes of digital NUT sequences.

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关键词

$$L_p$$ discrepancy,van der Corput sequence,Digital (0, 1) sequence

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