{
  "id": "2010.16128",
  "version": "v1",
  "published": "2020-10-30T09:01:13.000Z",
  "updated": "2020-10-30T09:01:13.000Z",
  "title": "Symmetries of Kolmogorov backward equation",
  "authors": [
    "Roman Kozlov"
  ],
  "categories": [
    "math-ph",
    "math.MP",
    "math.PR"
  ],
  "abstract": "The note provides the relation between symmetries and first integrals of It\\^{o} stochastic differential equations and symmetries of the associated Kolmogorov backward equation. Relation between the symmetries of the Kolmogorov backward equation and the symmetries of the Kolmogorov forward equation is also given.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-10-30T09:01:13.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "symmetries",
      "stochastic differential equations",
      "associated kolmogorov backward equation",
      "first integrals",
      "kolmogorov forward equation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}