{
  "abstract": "Krieger's classical embedding theorem gives necessary and sufficient conditions for embedding a subshift into a mixing shift of finite type (SFT) as a proper subshift. The same result does not hold if one replaces mixing SFT by a mixing sofic shift. In this paper, we generalize Krieger's conditions to give necessary and sufficient conditions for embedding a subshift into a mixing (in fact irreducible) near Markov sofic shift (a special conjugacy-invariant class of sofic shifts). We also show that if the subshift to be embedded is irreducible sofic, then the conditions are finitely decidable.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2606.25475",
  "author_total": 3,
  "authors": [
    {
      "name": "Brian Marcus"
    },
    {
      "name": "Tom Meyerovitch"
    },
    {
      "name": "Chengyu Wu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/4kdcq5mcwqyv7.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2606.25475",
  "fulltext_url": null,
  "id": "4kdcq5mcwqyv7",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2606.25475",
  "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": "W7165922114",
  "pdf_url": "https://arxiv.org/pdf/2606.25475",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-27",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/4kdcq5mcwqyv7.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:25:17Z",
      "native_id": "2606.25475",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2606.25475"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DS",
      "subfield": "dynamical-systems"
    }
  ],
  "title": "A Krieger Embedding Theorem for Near Markov Sofic Shifts",
  "title_text": "A Krieger Embedding Theorem for Near Markov Sofic Shifts",
  "type": "preprint",
  "updated_at": "2026-10-30T12:25:17Z",
  "url": "https://research.draconitic.com/paper/4kdcq5mcwqyv7",
  "venue": "arXiv",
  "versions": []
}