The Microstructure of (t, m, s)-Nets |
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| Authors: | Harald Niederreiter Gottlieb Pirsic |
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| Affiliation: | Department of Mathematics, National University of Singapore, 2 Science Drive 2, Singapore, 117543, Republic of Singaporef1;Institute of Discrete Mathematics, Austrian Academy of Sciences, Sonnenfelsgasse 19, A-1010, Vienna, Austria, f2 |
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| Abstract: | ![]()
In an article of A. B. Owen (1998, J. Complexity14, 466–489) the question about the distribution properties of digital (t, m, s)-nets in small intervals was raised. We give upper and lower bounds for the maximum number of points of a (t, m, s)-net in these intervals and also provide a way of improving the distribution properties in some cases. |
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