{
  "abstract": "A system $(X,μ, T)$ is partially rigid with constant $δ>0$ if there exists an incresing sequence $(n_k)$ such that $\\displaystyle \\liminf_{k \\to \\infty } μ(A \\cap T^{-n_k}A) \\geq δμ(A)$ for every measurable $A \\subset X$. The partial rigidity rate is the largest constant of partial rigidity. We characterize the partial rigidity rate of subshifts arising from $q$-additive functions $\\pmod M$ in terms of quantities arising from Bésineau's theorem. With this, we build a family of strongly $q$-additive functions to deduce that the collection of partial rigidity rates for substitution subshifts is dense in $[0,1]$ answering a question of Donoso, Maass and the author.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.32445",
  "author_total": 1,
  "authors": [
    {
      "name": "Tristán Radić"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/bemtx11sf5hh7.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.32445",
  "fulltext_url": null,
  "id": "bemtx11sf5hh7",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.32445",
  "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.DS"
    ],
    [
      "arxiv",
      "math.NT"
    ],
    [
      "openalex",
      "2610|Mathematical Dynamics and Fractals"
    ]
  ],
  "openalex": "W7223653324",
  "pdf_url": "https://arxiv.org/pdf/2610.32445",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-23",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/bemtx11sf5hh7.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:19Z",
      "native_id": "2610.32445",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.32445"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.NT",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.DS",
      "subfield": "dynamical-systems"
    }
  ],
  "title": "Partial rigidity and q-additive functions",
  "title_text": "Partial rigidity and q-additive functions",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:19Z",
  "url": "https://research.draconitic.com/paper/bemtx11sf5hh7",
  "venue": "arXiv",
  "versions": []
}