{
  "abstract": "We establish exact limits for the normalized temporal power variations of every fixed real order \\(γ\\geq2\\) for the mild solution to a one-dimensional space--time fractional stochastic heat equation driven by multiplicative space--time white noise. The results include the exact normalized quadratic variation and the critical power variation of order \\(2α/(α-β)\\) as special cases. We also obtain the corresponding spatially averaged temporal variations. As applications, we construct consistent estimators for the drift parameter and for the ratio \\(β/α\\).",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.04564",
  "author_total": 3,
  "authors": [
    {
      "name": "Yongkang Li"
    },
    {
      "name": "Yaozhong Hu"
    },
    {
      "name": "Litan Yan"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/04jnve5b4e3sw.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.04564",
  "fulltext_url": null,
  "id": "04jnve5b4e3sw",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.04564",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.PR"
    ],
    [
      "openalex",
      "2003|Stochastic processes and financial applications"
    ]
  ],
  "openalex": "W7220726795",
  "pdf_url": "https://arxiv.org/pdf/2610.04564",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-03",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/04jnve5b4e3sw.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:10Z",
      "native_id": "2610.04564",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.04564"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.PR",
      "subfield": "probability"
    }
  ],
  "title": "Exact temporal variations and parameter estimation for space--time fractional stochastic heat equations driven by multiplicative noise",
  "title_text": "Exact temporal variations and parameter estimation for space--time fractional stochastic heat equations driven by multiplicative noise",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:10Z",
  "url": "https://research.draconitic.com/paper/04jnve5b4e3sw",
  "venue": "arXiv",
  "versions": []
}