{
  "abstract": "We give a direct proof of the Burke property for the stationary O'Connell-Yor polymer using Stein's method. Building on a free energy identity developed in joint work with Firas Rassoul-Agha, Xiao Shen, and Guangqu Zheng, we establish a multilevel extension that yields a joint Gaussian-Gamma Stein identity, from which the full Burke property follows. The proof is based on a Gaussian integration-by-parts framework developed in that work. Passing to zero temperature gives the corresponding result for stationary point-to-line Brownian last-passage percolation.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.18214",
  "author_total": 1,
  "authors": [
    {
      "name": "Ruixuan Zhang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/1gekthnfv600e.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.18214",
  "fulltext_url": null,
  "id": "1gekthnfv600e",
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  "landing_url": "https://arxiv.org/abs/2609.18214",
  "language": null,
  "licence": "CC-BY-NC-ND-4.0",
  "licence_label": "CC BY-NC-ND 4.0",
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  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math-ph"
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      "arxiv",
      "math.MP"
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      "arxiv",
      "math.PR"
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      "openalex",
      "2610|Stochastic processes and statistical mechanics"
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  "openalex": "W7213525736",
  "pdf_url": "https://arxiv.org/pdf/2609.18214",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-16",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/1gekthnfv600e.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:22:01Z",
      "native_id": "2609.18214",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.18214"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.PR",
      "subfield": "probability"
    }
  ],
  "title": "A Stein Proof of the Burke Property for the Stationary O'Connell-Yor Polymer",
  "title_text": "A Stein Proof of the Burke Property for the Stationary O'Connell-Yor Polymer",
  "type": "preprint",
  "updated_at": "2026-10-30T12:22:04Z",
  "url": "https://research.draconitic.com/paper/1gekthnfv600e",
  "venue": "arXiv",
  "versions": []
}