Summary
By relating the star discrepancy of a digital (t, m, 3)-net to that of a digital (t, 2)-sequence, we obtain new upper bounds on the star discrepancy of digital (t, m, 3)-nets. From these results, we derive new upper bounds on the star discrepancy of digital (t, 3)-sequences. We also show the existence of (0, m, 4)-nets with particularly low star discrepancy.
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© 2006 Springer-Verlag Berlin Heidelberg
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Kritzer, P. (2006). On the Star Discrepancy of Digital Nets and Sequences in Three Dimensions. In: Niederreiter, H., Talay, D. (eds) Monte Carlo and Quasi-Monte Carlo Methods 2004. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-31186-6_17
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DOI: https://doi.org/10.1007/3-540-31186-6_17
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-25541-3
Online ISBN: 978-3-540-31186-7
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