{
  "abstract": "In this paper, we develop a general criterion for the K-property of equilibrium states within the Climenhaga-Thompson framework. Under suitable pressure-gap and non-uniform expansiveness assumptions, we show that the unique equilibrium state has the K-property, provided that the good collection of orbit segments satisfies an appropriate non-uniform specification property, as well as an appropriate non-uniform distortion control property for the potential function. These results do not require any additional lambda-decomposition structure and apply to a wide range of systems, including those with non-trivial central directions, such as the frame flow over closed rank-one manifolds with bunched nonpositive curvature. Moreover, we also construct several counterexamples to demonstrate that generally the assumptions in our criteria cannot be weakened while keeping the K-property.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.37392",
  "author_total": 1,
  "authors": [
    {
      "name": "Tianyu Wang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/348r1n63474tw.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.37392",
  "fulltext_url": null,
  "id": "348r1n63474tw",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.37392",
  "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"
    ],
    [
      "openalex",
      "2610|Mathematical Dynamics and Fractals"
    ]
  ],
  "openalex": "W7224130586",
  "pdf_url": "https://arxiv.org/pdf/2610.37392",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-27",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/348r1n63474tw.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:53Z",
      "native_id": "2610.37392",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.37392"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DS",
      "subfield": "dynamical-systems"
    }
  ],
  "title": "The K-property of equilibrium states for systems with non-uniform structure",
  "title_text": "The K-property of equilibrium states for systems with non-uniform structure",
  "type": "preprint",
  "updated_at": "2026-11-06T18:21:01Z",
  "url": "https://research.draconitic.com/paper/348r1n63474tw",
  "venue": "arXiv",
  "versions": []
}