{
  "abstract": "Let $Γ\\le \\mathrm{SL}(d+1,\\mathbb R)$ be a torsion-free hyperbolic group dividing a properly and strictly convex domain $Ω\\subset \\mathbb R\\mathrm P^d$, and let $ρ: Γ\\to \\mathrm{SL}(d+1,\\mathbb R)$ be the inclusion. We study representations of $Γ$ into the coaffine group that are deformations of $ρ\\oplus 1 \\in \\mathrm{Hom}(Γ, \\mathrm{GL}(d+2,\\mathbb R))$ and that lie on the boundary of the locus of projective Anosov representations. In this setting, we identify a canonical limit set $Λ$ for the action and study its fine geometric features which are, in a suitable sense, stable. We prove the existence of an ending lamination that encodes the failure of the Anosov condition and the non-existence of a Cannon--Thurston map. Under certain conditions, we compute the Hausdorff dimension and show that the corresponding measure is positive.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.14897",
  "author_total": 2,
  "authors": [
    {
      "name": "Marit Bobb"
    },
    {
      "name": "James Farre"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/00r99v7x0yjge.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.14897",
  "fulltext_url": null,
  "id": "00r99v7x0yjge",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.14897",
  "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.GT"
    ],
    [
      "openalex",
      "2610|Mathematical Dynamics and Fractals"
    ]
  ],
  "openalex": "W7221754262",
  "pdf_url": "https://arxiv.org/pdf/2610.14897",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-10",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/00r99v7x0yjge.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:15Z",
      "native_id": "2610.14897",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.14897"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.GT",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Boundary of Anosov coaffine representations",
  "title_text": "Boundary of Anosov coaffine representations",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:15Z",
  "url": "https://research.draconitic.com/paper/00r99v7x0yjge",
  "venue": "arXiv",
  "versions": []
}