{
  "abstract": "In this paper, we study the conditional location of $X_T$ given the local time profile $L_T(\\cdot)$ for two non-Markovian self-interacting processes: the polynomially self-repelling motion (PSRM) and the true self-repelling motion (TSRM). For TSRM, our novel approach yields a new proof of Dumaz's clever burglar result [Dumaz 2012].",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.00854",
  "author_total": 1,
  "authors": [
    {
      "name": "Yaolin Yu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/9kpzb63wj36bt.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.00854",
  "fulltext_url": null,
  "id": "9kpzb63wj36bt",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.00854",
  "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": null,
  "pdf_url": "https://arxiv.org/pdf/2611.00854",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/9kpzb63wj36bt.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:21:10Z",
      "native_id": "2611.00854",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.00854"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.PR",
      "subfield": "probability"
    }
  ],
  "title": "The Self-repelling Burglar",
  "title_text": "The Self-repelling Burglar",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:22Z",
  "url": "https://research.draconitic.com/paper/9kpzb63wj36bt",
  "venue": "arXiv",
  "versions": []
}