A lower bound on the star discrepancy of generalized Halton sequences in rational bases
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Abstract:
In this paper we extend a result of Levin, who proved a lower bound on the star discrepancy of generalized Halton sequences in positive integer bases, to rational bases.References
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Additional Information
- Roswitha Hofer
- Affiliation: Institute of Financial Mathematics and Applied Number Theory, Johannes Kepler University Linz, Altenbergerstr. 69, 4040 Linz, Austria
- MR Author ID: 824746
- Email: roswitha.hofer@jku.at
- Received by editor(s): October 30, 2018
- Received by editor(s) in revised form: February 19, 2019
- Published electronically: May 17, 2019
- Additional Notes: The author was supported by the Austrian Science Fund (FWF): Project F5505-N26, which is a part of the Special Research Program “Quasi-Monte Carlo Methods: Theory and Applications”
- Communicated by: Matthew A. Papanikolas
- © Copyright 2019 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 147 (2019), 4655-4664
- MSC (2010): Primary 11K31, 11K38
- DOI: https://doi.org/10.1090/proc/14596
- MathSciNet review: 4011502