{
  "abstract": "For every infinite-type surface with an isolated puncture that admits a shift map and every natural number $n$, we study an intrinsically infinite-type mapping class $g_n$ and a simple closed curve whose orbit under $g_n$ splits into $n$ subsequences, each of which converges in the coarse Chabauty topology to a geodesic lamination on the surface. These laminations are cyclically permuted by $g_n$, and their union is a $g_n$--invariant geodesic lamination. We further show the attracting limit point of $g_n$ in the boundary of the relative arc graph has weight $n$. In particular, intrinsically infinite-type loxodromic isometries of the relative arc graph realize every finite weight.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.25435",
  "author_total": 2,
  "authors": [
    {
      "name": "Carolyn Abbott"
    },
    {
      "name": "Phuong Pham"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/7ma2mzvyb6s30.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.25435",
  "fulltext_url": null,
  "id": "7ma2mzvyb6s30",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.25435",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.GT"
    ],
    [
      "openalex",
      "2608|Geometric and Algebraic Topology"
    ]
  ],
  "openalex": "W7214086266",
  "pdf_url": "https://arxiv.org/pdf/2609.25435",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-21",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/7ma2mzvyb6s30.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:43Z",
      "native_id": "2609.25435",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.25435"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.GT",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Limiting laminations and boundary weights for infinite-type mapping classes",
  "title_text": "Limiting laminations and boundary weights for infinite-type mapping classes",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:43Z",
  "url": "https://research.draconitic.com/paper/7ma2mzvyb6s30",
  "venue": "arXiv",
  "versions": []
}