Article
On the Classification of Ls-Sequences
Authors
Abstract
This paper addresses the question whether the LS-sequences con- structed in [Car12] yield indeed a new family of low-discrepancy sequences. While it is well known that the case S = 0 corresponds to van der Corput sequences, we prove here that the case S = 1 can be traced back to symmetrized Kronecker sequences and moreover that for S ≥ 2 none of these two types occurs anymore. In addition, our approach allows for an improved discrepancy bound for S = 1 and L arbitrary.
Keywords
Low-discrepancy, LS-sequences, Kronecker-sequences, classification, uniform.
Citation
Weiss, C. (2018). On the classification of ls-sequences. Uniform Distribution Theory, 13(2), 83–92. https://doi.org/10.2478/udt-2018-0012
C. Weiss, “On the classification of ls-sequences,” Uniform Distribution Theory, vol. 13, no. 2, pp. 83–92, 2018, doi: 10.2478/udt-2018-0012.
Weiss C. On the classification of ls-sequences. Uniform Distribution Theory. 2018;13(2):83–92. doi:10.2478/udt-2018-0012.
Weiss, C. (2018), ‘On the classification of ls-sequences’, Uniform Distribution Theory, 13(2), pp. 83–92. Available at: https://doi.org/10.2478/udt-2018-0012.
Weiss, Christian. “On the Classification of Ls-sequences.” Uniform Distribution Theory, vol. 13, no. 2, 2018, pp. 83–92. https://doi.org/10.2478/udt-2018-0012.
Weiss, Christian. “On the Classification of Ls-sequences.” Uniform Distribution Theory 13, no. 2 (2018): 83–92. https://doi.org/10.2478/udt-2018-0012.
Export citation
Published by: Engineering Journals
