English

A lower bound on the star discrepancy of generalized Halton sequences in rational bases

Number Theory 2018-10-31 v1

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.

Keywords

Cite

@article{arxiv.1810.12671,
  title  = {A lower bound on the star discrepancy of generalized Halton sequences in rational bases},
  author = {Roswitha Hofer},
  journal= {arXiv preprint arXiv:1810.12671},
  year   = {2018}
}