{
  "abstract": "Neural avalanches with size exponent $3/2$ are usually explained by mean-field critical branching, which for short-range coupling requires dimension $N\\ge4$. We show that hierarchical connectivity removes this constraint. In a $p$-adic version of the Buice--Cowan field theory, a coupling that decays by $p^{-(N+σ)}$ per hierarchical level selects the Taibleson--Vladimirov operator, and the critical theory is ultrametric directed percolation with upper critical dimension $N_c=2σ$. Exact simulations on a tree give $τ_S=3/2$ for $σ\\le N/2$, decreasing continuously for $σ>N/2$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.36404",
  "author_total": 1,
  "authors": [
    {
      "name": "W. A. Zúñiga-Galindo"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/0g847zbctctyh.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.36404",
  "fulltext_url": null,
  "id": "0g847zbctctyh",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.36404",
  "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",
      "cond-mat.dis-nn"
    ],
    [
      "arxiv",
      "q-bio.NC"
    ],
    [
      "openalex",
      "3104|Theoretical and Computational Physics"
    ]
  ],
  "openalex": "W7224102394",
  "pdf_url": "https://arxiv.org/pdf/2610.36404",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-26",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/0g847zbctctyh.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:50Z",
      "native_id": "2610.36404",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.36404"
    }
  ],
  "subjects": [
    {
      "field": "biology",
      "origin": "arxiv:q-bio.NC",
      "subfield": "neuroscience"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.dis-nn",
      "subfield": "condensed-matter"
    }
  ],
  "title": "Hierarchical connectivity sets the upper critical dimension of neural avalanches",
  "title_text": "Hierarchical connectivity sets the upper critical dimension of neural avalanches",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:56Z",
  "url": "https://research.draconitic.com/paper/0g847zbctctyh",
  "venue": "arXiv",
  "versions": []
}