{
  "abstract": "We study a class of oriented annular planar maps which are closely related to bipolar-oriented maps. We prove that such maps can be encoded by a 2D lattice walk which converges to a 2D Brownian path in the scaling limit. We further prove a mating-of-trees result for the annulus, where the aforementioned Brownian path and a generalization encodes an LQG annulus decorated by a counterclockwise space-filling SLE loop with parameter $γ=16κ^{-1/2}\\in(0,2)$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.27630",
  "author_total": 4,
  "authors": [
    {
      "name": "Xingjian Di"
    },
    {
      "name": "Nina Holden"
    },
    {
      "name": "Zhenfeng Tu"
    },
    {
      "name": "Pu Yu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/bc5tma5nbjrfz.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.27630",
  "fulltext_url": null,
  "id": "bc5tma5nbjrfz",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.27630",
  "language": null,
  "licence": "CC-BY-SA-4.0",
  "licence_label": "CC BY-SA 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-sa/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.PR"
    ],
    [
      "openalex",
      "2610|Stochastic processes and statistical mechanics"
    ]
  ],
  "openalex": "W7204755836",
  "pdf_url": "https://arxiv.org/pdf/2608.27630",
  "pmcid": null,
  "pmid": null,
  "published": "2026-08-27",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/bc5tma5nbjrfz.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:28Z",
      "native_id": "2608.27630",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.27630"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.PR",
      "subfield": "probability"
    }
  ],
  "title": "Oriented planar maps and annular mating of trees",
  "title_text": "Oriented planar maps and annular mating of trees",
  "type": "preprint",
  "updated_at": "2026-10-30T12:17:28Z",
  "url": "https://research.draconitic.com/paper/bc5tma5nbjrfz",
  "venue": "arXiv",
  "versions": []
}