{
  "id": "1411.6268",
  "version": "v1",
  "published": "2014-11-23T17:03:51.000Z",
  "updated": "2014-11-23T17:03:51.000Z",
  "title": "Infinitesimal generators for polynomial processes",
  "authors": [
    "Wlodek Bryc",
    "Jacek Wesolowski"
  ],
  "categories": [
    "math.PR",
    "math.CO",
    "math.OA"
  ],
  "abstract": "We study the infinitesimal generators of evolutions of linear mappings on the space of polynomials, which correspond to a special class of Markov processes with polynomial regressions. We relate the infinitesimal generator to the unique solution of a certain commutation equation, and we use the commutation equation to find explicit formula for the infinitesimal generators corresponding to the so called free quadratic harnesses.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-11-23T17:03:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60J25"
    ],
    "keywords": [
      "infinitesimal generator",
      "polynomial processes",
      "commutation equation",
      "free quadratic harnesses",
      "correspond"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1411.6268B"
    }
  }
}