{
  "abstract": "We provide the first example of a finitely presented, and the first example of a simple, group of non-uniform exponential growth. The example is given by Thompson's group $V$. Our methods also show that the infimal exponential growth rates of $\\mathrm{Aut}(F_{2^{n+2}})$ and of $\\mathrm{EL}_{2^{n+2}}(R)$, for every finitely generated ring $R$, tend to $1$. As an application, we obtain the first example of an acylindrically hyperbolic group, and the first example of a Kazhdan group, of non-uniform exponential growth.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2605.30163",
  "author_total": 2,
  "authors": [
    {
      "name": "Roman Sauer"
    },
    {
      "name": "Eduard Schesler"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/9dan3x9ejetgn.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2605.30163",
  "fulltext_url": null,
  "id": "9dan3x9ejetgn",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2605.30163",
  "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",
      "math.GR"
    ],
    [
      "openalex",
      "2608|Geometric and Algebraic Topology"
    ]
  ],
  "openalex": "W7162782961",
  "pdf_url": "https://arxiv.org/pdf/2605.30163",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-14",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/9dan3x9ejetgn.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:21:29Z",
      "native_id": "2605.30163",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2605.30163"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.GR",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Non-uniform exponential growth and the decay of growth rates in growing dimensions",
  "title_text": "Non-uniform exponential growth and the decay of growth rates in growing dimensions",
  "type": "preprint",
  "updated_at": "2026-10-30T12:21:29Z",
  "url": "https://research.draconitic.com/paper/9dan3x9ejetgn",
  "venue": "arXiv",
  "versions": []
}