Discrepancy of generalized $LS$-sequences
Number Theory
2015-03-26 v1
Abstract
The -sequences are a parametric family of sequences of points in the unit interval. They were introduced by Carbone, who also proved that under an appropriate choice of the parameters and , such sequences are low-discrepancy. The aim of the present paper is to provide explicit constants in the bounds of the discrepancy of -sequences. Further, we generalize the construction of Carbone and construct a new class of sequences of points in the unit interval, the generalized -sequences.
Keywords
Cite
@article{arxiv.1503.07299,
title = {Discrepancy of generalized $LS$-sequences},
author = {Maria Rita Iacò and Volker Ziegler},
journal= {arXiv preprint arXiv:1503.07299},
year = {2015}
}