{
  "abstract": "We study the Hilbert geodesic flow on a closed convex real projective $n$-dimensional manifold. We use the thermodynamic formalism for this dissipative Anosov flow to obtain a geometric description of the SRB measure. We also deduce new counting properties for the induced representations of the fundamental groups in $SL(n+1, \\R)$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.39454",
  "author_total": 2,
  "authors": [
    {
      "name": "Patrick Foulon"
    },
    {
      "name": "Inkang Kim"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/cjwr8n2p2mq28.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.39454",
  "fulltext_url": null,
  "id": "cjwr8n2p2mq28",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.39454",
  "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.DS"
    ],
    [
      "openalex",
      "2610|Mathematical Dynamics and Fractals"
    ]
  ],
  "openalex": "W7215128772",
  "pdf_url": "https://arxiv.org/pdf/2609.39454",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-30",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/cjwr8n2p2mq28.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:25:49Z",
      "native_id": "2609.39454",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.39454"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DS",
      "subfield": "dynamical-systems"
    }
  ],
  "title": "Thermodynamic Formalism on SRB Measures of Compact Convex Projective manifolds, Geometry and Counting",
  "title_text": "Thermodynamic Formalism on SRB Measures of Compact Convex Projective manifolds, Geometry and Counting",
  "type": "preprint",
  "updated_at": "2026-10-30T12:25:49Z",
  "url": "https://research.draconitic.com/paper/cjwr8n2p2mq28",
  "venue": "arXiv",
  "versions": []
}