{
  "id": "2212.05325",
  "version": "v1",
  "published": "2022-12-10T15:53:46.000Z",
  "updated": "2022-12-10T15:53:46.000Z",
  "title": "Description of the class of probability measures on the group ${\\mathbb Z}_2^3$ that have a trivial equivalence class",
  "authors": [
    "Irina Il'inskaya"
  ],
  "comment": "16 pages, 2 figures",
  "categories": [
    "math.PR"
  ],
  "abstract": "A complete description is given of the class of probability measures on the group ${\\mathbb Z}_2^3$, which are uniquely determined by the modulus of their characteristic function up to a shift.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-12-10T15:53:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60B15",
      "60E10",
      "62P35"
    ],
    "keywords": [
      "trivial equivalence class",
      "probability measures",
      "complete description",
      "characteristic function"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}