{
  "id": "2007.12742",
  "version": "v1",
  "published": "2020-07-24T19:19:29.000Z",
  "updated": "2020-07-24T19:19:29.000Z",
  "title": "Distributions of polynomials in Gaussian random variables under structural constraints",
  "authors": [
    "Egor Kosov"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "We study the regularity of densities of distributions that are polynomial images of the standard Gaussian measure on $\\mathbb{R}^n$. We assume that the degree of a polynomial is fixed and that each variable enters to a power bounded by another fixed number.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-07-24T19:19:29.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "gaussian random variables",
      "structural constraints",
      "distributions",
      "standard gaussian measure",
      "polynomial images"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}