{
  "id": "1712.09452",
  "version": "v1",
  "published": "2017-12-26T23:13:58.000Z",
  "updated": "2017-12-26T23:13:58.000Z",
  "title": "A new definition of random sets",
  "authors": [
    "Vesna Gotovac",
    "Kateřina Helisova",
    "Lev B. Klebanov",
    "Irina V. Volchenkova"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "A new definition of random sets is proposed. It is based on the distance in measurable space and uses negative definite kernels for continuation from initial space to that of random sets. This approach has no connection to Hausdorff distance between sets. Key words: random sets; measurable space; negative definite kernels; Hilbert space isometries.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-12-26T23:13:58.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "random sets",
      "definition",
      "negative definite kernels",
      "measurable space",
      "hilbert space isometries"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}