{
  "abstract": "We study entropy and periodic-orbit growth for flows on metric spaces. First, we prove that the finite topological entropy of a flow on a compact metric space is completely carried by compact subsets of its regular set. Next, we establish a Bowen--Walters inequality for geometrically separating flows on possibly noncompact metric spaces, under uniform control at time zero and dynamical isolation at infinity. As applications, we obtain the Bowen--Walters inequality for singular suspension flows over expansive homeomorphisms, multisingular-hyperbolic sets---extending the upper-bound part of \\cite{pyyz}---and asymptotically sectional-hyperbolic attractors such as Rovella's \\cite{r}.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.00626",
  "author_total": 1,
  "authors": [
    {
      "name": "C. A. Morales"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/cspdv4w355zf1.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.00626",
  "fulltext_url": null,
  "id": "cspdv4w355zf1",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.00626",
  "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": "W7206188049",
  "pdf_url": "https://arxiv.org/pdf/2609.00626",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/cspdv4w355zf1.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:04Z",
      "native_id": "2609.00626",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.00626"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DS",
      "subfield": "dynamical-systems"
    }
  ],
  "title": "Entropy on regular sets and periodic-orbit growth for singular flows",
  "title_text": "Entropy on regular sets and periodic-orbit growth for singular flows",
  "type": "preprint",
  "updated_at": "2026-10-30T12:18:04Z",
  "url": "https://research.draconitic.com/paper/cspdv4w355zf1",
  "venue": "arXiv",
  "versions": []
}