English

$LS$-sequences of points in the unit square

Number Theory 2012-11-14 v1

Abstract

We define a countable family of sequences of points in the unit square: the {\it LSLS-sequences of points \`a la Halton}. They reveal a very strange and interesting behaviour, as well as resonance phenomena, for which we have not found an explanation, so far. We conclude with three open problems.

Keywords

Cite

@article{arxiv.1211.2941,
  title  = {$LS$-sequences of points in the unit square},
  author = {Ingrid Carbone and Maria Rita Iacò and Aljoša Volčič},
  journal= {arXiv preprint arXiv:1211.2941},
  year   = {2012}
}

Comments

8 pages, 4 figures

R2 v1 2026-06-21T22:37:26.804Z