{
  "abstract": "We study a class of continuous stochastic flows driven by a space-time white noise and characterize their dual flows by explicit stochastic differential equations. A key ingredient of the proof is the convergence of solutions under coefficient approximations. As an application, we derive the dual flows in two illustrative examples, the squared Bessel flow and the Jacobi flow. We also introduce a new model of polynomially self-repelling (PSR) flow and show that it enjoys a self-duality property.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2606.12143",
  "author_total": 1,
  "authors": [
    {
      "name": "Yaolin Yu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/4p05pz8wyjmk2.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2606.12143",
  "fulltext_url": null,
  "id": "4p05pz8wyjmk2",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2606.12143",
  "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",
      "2610|Stochastic processes and statistical mechanics"
    ]
  ],
  "openalex": "W7164312449",
  "pdf_url": "https://arxiv.org/pdf/2606.12143",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-29",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/4p05pz8wyjmk2.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:36:32Z",
      "native_id": "2606.12143",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2606.12143"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.PR",
      "subfield": "probability"
    }
  ],
  "title": "Continuous stochastic flows driven by white noise and their duals",
  "title_text": "Continuous stochastic flows driven by white noise and their duals",
  "type": "preprint",
  "updated_at": "2026-11-01T12:20:50Z",
  "url": "https://research.draconitic.com/paper/4p05pz8wyjmk2",
  "venue": "arXiv",
  "versions": []
}