{
  "id": "1503.07299",
  "version": "v1",
  "published": "2015-03-25T07:49:50.000Z",
  "updated": "2015-03-25T07:49:50.000Z",
  "title": "Discrepancy of generalized $LS$-sequences",
  "authors": [
    "Maria Rita Iacò",
    "Volker Ziegler"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "The $LS$-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 $L$ and $S$, such sequences are low-discrepancy. The aim of the present paper is to provide explicit constants in the bounds of the discrepancy of $LS$-sequences. Further, we generalize the construction of Carbone and construct a new class of sequences of points in the unit interval, the generalized $LS$-sequences.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-03-25T07:49:50.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "unit interval",
      "generalize",
      "appropriate choice",
      "explicit constants",
      "low-discrepancy"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}