{
  "abstract": "We develop a new theory of thermodynamic formalism for non-compact flows, providing criteria for existence and uniqueness of equilibrium states, as well as ergodicity and a Gibbs property. These criteria include new versions of the expansivity and specification properties that hold for geodesic flows on non-compact negatively curved manifolds. Previous results on thermodynamic formalism for these geodesic flows were restricted by a pinched curvature condition, which we remove, allowing curvature to approach both $0$ and $-\\infty$. Our results also apply to geodesic flows beyond the smooth setting, including locally CAT(-1) spaces.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2606.20405",
  "author_total": 3,
  "authors": [
    {
      "name": "Vaughn Climenhaga"
    },
    {
      "name": "Daniel J. Thompson"
    },
    {
      "name": "Tianyu Wang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/96qcg20wj15d4.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2606.20405",
  "fulltext_url": null,
  "id": "96qcg20wj15d4",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2606.20405",
  "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": "W7165401190",
  "pdf_url": "https://arxiv.org/pdf/2606.20405",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-05",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/96qcg20wj15d4.ris",
  "sources": [
    {
      "first_seen": "2026-11-06T18:21:34Z",
      "native_id": "2606.20405",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2606.20405"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DS",
      "subfield": "dynamical-systems"
    }
  ],
  "title": "Thermodynamic formalism for non-compact systems with expansivity and specification",
  "title_text": "Thermodynamic formalism for non-compact systems with expansivity and specification",
  "type": "preprint",
  "updated_at": "2026-11-09T00:20:42Z",
  "url": "https://research.draconitic.com/paper/96qcg20wj15d4",
  "venue": "arXiv",
  "versions": []
}