{
  "id": "2403.10121",
  "version": "v1",
  "published": "2024-03-15T09:10:40.000Z",
  "updated": "2024-03-15T09:10:40.000Z",
  "title": "Invariant submanifolds for solutions to rough differential equations",
  "authors": [
    "Stefan Tappe"
  ],
  "comment": "15 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "In this paper we provide necessary and sufficient conditions for invariance of finite dimensional submanifolds for rough differential equations (RDEs) with values in a Banach space. Furthermore, we apply our findings to the particular situation of random RDEs driven by $Q$-Wiener processes and random RDEs driven by $Q$-fractional Brownian motion.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-03-15T09:10:40.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "rough differential equations",
      "invariant submanifolds",
      "random rdes driven",
      "fractional brownian motion",
      "finite dimensional submanifolds"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}