{
  "id": "2303.18192",
  "version": "v1",
  "published": "2023-03-31T16:49:20.000Z",
  "updated": "2023-03-31T16:49:20.000Z",
  "title": "Characterizing models in regularity structures: a quasilinear case",
  "authors": [
    "Markus Tempelmayr"
  ],
  "categories": [
    "math.PR",
    "math.AP"
  ],
  "abstract": "We give a novel characterization of the centered model in regularity structures which persists for rough drivers even as a mollification fades away. We present our result for a class of quasilinear equations driven by noise, however we believe that the method is robust and applies to a much broader class of subcritical equations. Furthermore, we prove that a convergent sequence of noise ensembles, satisfying uniformly a spectral gap assumption, implies the corresponding convergence of the associated models. Combined with the characterization, this establishes a universality-type result.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-03-31T16:49:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60H17",
      "60L30",
      "60H07"
    ],
    "keywords": [
      "regularity structures",
      "quasilinear case",
      "characterizing models",
      "quasilinear equations driven",
      "mollification fades away"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}