{
  "id": "1912.11354",
  "version": "v1",
  "published": "2019-12-23T12:41:43.000Z",
  "updated": "2019-12-23T12:41:43.000Z",
  "title": "Tree representations of $ α$-determinantal point processes",
  "authors": [
    "Shota Osada"
  ],
  "comment": "This article is to be published in RIMS K\\^oky\\^uroku Bessatsu. arXiv admin note: substantial text overlap with arXiv:1603.07478",
  "categories": [
    "math.PR"
  ],
  "abstract": "We introduce tree representations for $ \\alpha$-determinantal point processes. The $ \\alpha$-determinantal point processes is introduced as a one parameter extension of the determinantal point process. In the previous paper with H.Osada, the tree representation was introduced for determinantal point processes. In this paper, we prove that the tree representation can be applied to $ \\alpha$-determinantal point processes.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-12-23T12:41:43.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "determinantal point process",
      "tree representation",
      "parameter extension"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}