{
  "id": "1711.06493",
  "version": "v1",
  "published": "2017-11-17T11:00:39.000Z",
  "updated": "2017-11-17T11:00:39.000Z",
  "title": "Symmetry and integrability for stochastic differential equations",
  "authors": [
    "Giuseppe Gaeta",
    "Claudia Lunini"
  ],
  "categories": [
    "math-ph",
    "math.DS",
    "math.MP",
    "nlin.SI"
  ],
  "abstract": "We discuss the interrelations between symmetry of an Ito stochastic differential equations (or systems thereof) and its integrability, extending in party results by R. Kozlov [J. Phys. A ${\\bf 43}$ (2010) \\& ${\\bf 44}$ (2011)]. Together with integrability, we also consider the relations between symmetries and reducibility of a system of SDEs to a lower dimensional one. We consider both \"deterministic\" symmetries and \"random\" ones, in the sense introduced recently by Gaeta and Spadaro [J.Math. Phys. ${\\bf 58}$ (2017)].",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-11-17T11:00:39.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "integrability",
      "ito stochastic differential equations",
      "party results",
      "lower dimensional",
      "systems thereof"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}