{
  "abstract": "We give a class of local diffeomorphisms which are homotopic to toral hyperbolic endomorphisms, but which are not topologically semi-conjugate, within the homotopic class of the identity, to any Anosov local diffeomorphism. In particular, we show that for a non-invertible partially hyperbolic $C^1$-smooth local diffeomorphism with expanding directions on the $2$-torus, if it is semi-conjugate to an Anosov local diffeomorphism, then it is also an Anosov local diffeomorphism.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.10206",
  "author_total": 2,
  "authors": [
    {
      "name": "Ruihao Gu"
    },
    {
      "name": "Mingyang Xia"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/6s2fd362enfk1.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.10206",
  "fulltext_url": null,
  "id": "6s2fd362enfk1",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.10206",
  "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": "W7212118635",
  "pdf_url": "https://arxiv.org/pdf/2609.10206",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-09",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/6s2fd362enfk1.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:20:15Z",
      "native_id": "2609.10206",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.10206"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DS",
      "subfield": "dynamical-systems"
    }
  ],
  "title": "On the Absence of Anosov Factors for DA Local Diffeomorphisms",
  "title_text": "On the Absence of Anosov Factors for DA Local Diffeomorphisms",
  "type": "preprint",
  "updated_at": "2026-10-30T12:20:15Z",
  "url": "https://research.draconitic.com/paper/6s2fd362enfk1",
  "venue": "arXiv",
  "versions": []
}