Article
Discrepancy of Generalized Ls-Sequences
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Abstract
The LS-sequences are a parametric family of sequences of points in the unit interval. They were introduced by Carbone [4], who also proved that under an appropriate choice of the parameters L and S, such sequences are low- discrepancy. The aim of the present paper is to provide explicit constants in the bounds of the discrepancy of LS-sequences. Further, we generalize the construc- tion of Carbone [4] and construct a new class of sequences of points in the unit interval, the generalized LS-sequences.
Keywords
Discrepancy, LS-sequence, uniform distribution, beta-expansion.
Citation
Iaco, M. R. & Ziegler, V. (2017). Discrepancy of generalized ls-sequences. Uniform Distribution Theory, 12(2), 37–63. https://doi.org/10.1515/udt-2017-0014
M. R. Iaco and V. Ziegler, “Discrepancy of generalized ls-sequences,” Uniform Distribution Theory, vol. 12, no. 2, pp. 37–63, 2017, doi: 10.1515/udt-2017-0014.
Iaco MR, Ziegler V. Discrepancy of generalized ls-sequences. Uniform Distribution Theory. 2017;12(2):37–63. doi:10.1515/udt-2017-0014.
Iaco, M. R. and Ziegler, V. (2017), ‘Discrepancy of generalized ls-sequences’, Uniform Distribution Theory, 12(2), pp. 37–63. Available at: https://doi.org/10.1515/udt-2017-0014.
Iaco, Maria Rita, and Volker Ziegler. “Discrepancy of Generalized Ls-sequences.” Uniform Distribution Theory, vol. 12, no. 2, 2017, pp. 37–63. https://doi.org/10.1515/udt-2017-0014.
Iaco, Maria Rita, and Volker Ziegler. “Discrepancy of Generalized Ls-sequences.” Uniform Distribution Theory 12, no. 2 (2017): 37–63. https://doi.org/10.1515/udt-2017-0014.
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Published by: Engineering Journals
