{
  "id": "2005.12243",
  "version": "v1",
  "published": "2020-05-25T17:32:03.000Z",
  "updated": "2020-05-25T17:32:03.000Z",
  "title": "A remark on the minimal dispersion",
  "authors": [
    "A. E. Litvak"
  ],
  "categories": [
    "math.CA"
  ],
  "abstract": "We improve known upper bounds for the minimal dispersion of a point set in the unit cube and its inverse in both the periodic and non-periodic settings. Some of our bounds are sharp up to logarithmic factors.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-05-25T17:32:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "52B55",
      "52A23",
      "68Q25",
      "65Y20"
    ],
    "keywords": [
      "minimal dispersion",
      "logarithmic factors",
      "upper bounds",
      "non-periodic settings",
      "point set"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}