{
  "abstract": "We show that any discrete-time filtration can be embedded into a dyadic filtration, realized via a non-classical measure-preserving map. This embedding makes it possible to reduce certain problems involving vector-valued martingales to the case of Haar martingales. Some applications of this result will also be discussed.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": "Journal reference: Mathematische Nachrichten, 2026",
  "arxiv": "2611.06426",
  "author_total": 3,
  "authors": [
    {
      "name": "Grigori A. Karagulyan"
    },
    {
      "name": "Linda A. Khachatryan"
    },
    {
      "name": "Khazhakanush V. Navoyan"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/05ss6sdsj45nz.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.06426",
  "fulltext_url": null,
  "id": "05ss6sdsj45nz",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.06426",
  "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.CA"
    ],
    [
      "arxiv",
      "math.PR"
    ]
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  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.06426",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-04",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/05ss6sdsj45nz.ris",
  "sources": [
    {
      "first_seen": "2026-11-05T15:21:00Z",
      "native_id": "2611.06426",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.06426"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CA",
      "subfield": "analysis-pdes"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.PR",
      "subfield": "probability"
    }
  ],
  "title": "An equivalence principle for martingales",
  "title_text": "An equivalence principle for martingales",
  "type": "preprint",
  "updated_at": "2026-11-09T00:20:30Z",
  "url": "https://research.draconitic.com/paper/05ss6sdsj45nz",
  "venue": "arXiv",
  "versions": [
    {
      "doi": "10.1002/mana.70264",
      "pid": null,
      "relation": "published-as",
      "title": null,
      "venue": null
    }
  ]
}