{
  "abstract": "[Bass and Burdzy 1999] introduced a stochastic flow of homeomorphisms of the real line $\\mathcal R_t:x\\mapsto \\mathcal R_t(x)$, driven by a Brownian motion. Ray-Knight theorems for the process $\\mathcal R_t^{-1}(0)$ were later obtained by [Hu and Warren 2000]. We extend their results by proving an integral representation driven by a common white noise for the local times of $\\mathcal R_t^{-1}(0)$, in analogy with the case of the standard Ray-Knight theorems [Aïdékon, Hu and Shi 2024]. We generalize this representation to the setting of a Bass-Burdzy flow driven by a drifted Brownian motion perturbed at its maximum, and use this framework to answer a question of [Aïdékon, Hu and Shi 2026] concerning the description of the conditional law of a perturbed reflecting Brownian motion given its occupation measure in terms of Bass-Burdzy flows.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.13561",
  "author_total": 1,
  "authors": [
    {
      "name": "Chengshi Wang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/e9rryfysq9cq2.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.13561",
  "fulltext_url": null,
  "id": "e9rryfysq9cq2",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.13561",
  "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": "W7221552362",
  "pdf_url": "https://arxiv.org/pdf/2610.13561",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-09",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/e9rryfysq9cq2.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:28:40Z",
      "native_id": "2610.13561",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.13561"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.PR",
      "subfield": "probability"
    }
  ],
  "title": "An infinite-dimensional representation of Ray-Knight theorems for the Bass-Burdzy flow",
  "title_text": "An infinite-dimensional representation of Ray-Knight theorems for the Bass-Burdzy flow",
  "type": "preprint",
  "updated_at": "2026-10-30T12:28:40Z",
  "url": "https://research.draconitic.com/paper/e9rryfysq9cq2",
  "venue": "arXiv",
  "versions": []
}