{
  "id": "2005.09287",
  "version": "v1",
  "published": "2020-05-19T08:38:19.000Z",
  "updated": "2020-05-19T08:38:19.000Z",
  "title": "Hairer's Reconstruction Theorem without Regularity Structures",
  "authors": [
    "Francesco Caravenna",
    "Lorenzo Zambotti"
  ],
  "comment": "41 pages. Comments are welcome!",
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP",
    "math.PR"
  ],
  "abstract": "This survey is devoted to Martin Hairer's Reconstruction Theorem, which is one of the cornerstones of his theory of Regularity Structures. Our aim is to give a new self-contained and elementary proof of this Theorem and of some applications. We present it as a general result in the theory of distributions that can be understood without any knowledge of Regularity Structures themselves, which we do not even need to define.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-05-19T08:38:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46F99",
      "60L30"
    ],
    "keywords": [
      "regularity structures",
      "martin hairers reconstruction theorem",
      "elementary proof",
      "general result",
      "applications"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 41,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}