{
  "abstract": "We consider the identity of the abelian sandpile group of finite approximation graphs of the Sierpiński gasket, and we show that the second-order term in the scaling limit converges to the path distance to the nearest corner on the Sierpiński gasket. The proof relies on a decomposition of the identity of the sandpile group into the sum of a constant function and the Laplacian of the graph distance on the approximating graphs.",
  "abstract_shown": true,
  "affiliations": [
    "Departement of Mathematics, CIT, Technische Universität München, Boltzmannstr. 3, 85748 Garching bei München, Germany.",
    "Universität Innsbruck, Institut für Mathematik, Technikerstraße 13, 6020 Innsbruck, Austria."
  ],
  "article_type": "research article",
  "arxiv": null,
  "author_total": 3,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Robin Kaiser",
      "orcid": "0009-0003-8609-7949"
    },
    {
      "affs": [
        1
      ],
      "name": "Ecaterina Sava-Huss"
    },
    {
      "affs": [
        1
      ],
      "name": "Julia Überbacher"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/04pzzavrqe0gk.bib",
  "cited_by": 0,
  "doi": "10.1007/s40314-026-03928-6",
  "fulltext_url": "https://europepmc.org/articles/PMC13675294",
  "id": "04pzzavrqe0gk",
  "issns": [
    "1807-0302"
  ],
  "landing_url": "https://europepmc.org/article/MED/42892848",
  "language": "eng",
  "licence": "CC-BY",
  "licence_label": "CC BY",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "openalex",
      "2610|Stochastic processes and statistical mechanics"
    ]
  ],
  "openalex": "W7135217772",
  "pdf_url": "https://europepmc.org/articles/PMC13675294?pdf=render",
  "pmcid": "PMC13675294",
  "pmid": "42892848",
  "published": "2026-10-16",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/04pzzavrqe0gk.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:46Z",
      "native_id": "MED:42892848",
      "source": "europepmc",
      "url": "https://europepmc.org/article/MED/42892848"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "openalex:2610|Stochastic processes and statistical mechanics",
      "subfield": "mathematical-physics"
    }
  ],
  "title": "On the structure of the sandpile identity element on Sierpiński gasket graphs.",
  "title_text": "On the structure of the sandpile identity element on Sierpiński gasket graphs.",
  "type": "peer-reviewed",
  "updated_at": "2026-10-30T12:18:46Z",
  "url": "https://research.draconitic.com/paper/04pzzavrqe0gk",
  "venue": "Computational & applied mathematics",
  "versions": []
}