{
  "id": "2102.12681",
  "version": "v1",
  "published": "2021-02-25T04:42:41.000Z",
  "updated": "2021-02-25T04:42:41.000Z",
  "title": "Transition Density of an Infinite-dimensional diffusion with the Jack Parameter",
  "authors": [
    "Youzhou Zhou"
  ],
  "comment": "7 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "An infinite-dimensional diffusion with the Jack parameter is constructed by Olshanski in \\cite{Ol_2}, and an explicit transition density is also obtained by Korotkikh through eigen expansion in \\cite{SY_K}. We will rearrange the transition density in \\cite{SY_K} to get a new expression, which has nice probabilistic interpretations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-02-25T04:42:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60J60",
      "60C05"
    ],
    "keywords": [
      "infinite-dimensional diffusion",
      "jack parameter",
      "nice probabilistic interpretations",
      "explicit transition density",
      "eigen expansion"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}