{
  "id": "2410.20426",
  "version": "v1",
  "published": "2024-10-27T12:49:26.000Z",
  "updated": "2024-10-27T12:49:26.000Z",
  "title": "Exact Temporal Variation for Fractional Stochastic Heat Equation Driven by Space-Time White Noise",
  "authors": [
    "Yongkang Li",
    "Huisheng Shu",
    "Litan Yan"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "In this paper, we consider the exact fractional variation for the temporal process of the solution to the fractional stochastic heat equation on $\\mathbb{R}$ driven by a space-time white noise, and as an application we give the estimate of drift parameter.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-10-27T12:49:26.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "fractional stochastic heat equation driven",
      "space-time white noise",
      "exact temporal variation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}