{
  "abstract": "In this paper we study a quadratic dynamical system that is a perturbation of a system of Markov processes. We give necessary and sufficient conditions for such a perturbation to be stochastic, show the existence of fixed points, and present a few examples and possible applications. Finally, we derive explicit contraction conditions that guarantee uniqueness of the fixed point and geometric convergence to it from every initial state.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.00295",
  "author_total": 3,
  "authors": [
    {
      "name": "Riddhi Pratim Ghosh"
    },
    {
      "name": "Mihai D. Staic"
    },
    {
      "name": "Sofia Stancu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/a97tezh16rep0.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.00295",
  "fulltext_url": null,
  "id": "a97tezh16rep0",
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  "landing_url": "https://arxiv.org/abs/2608.00295",
  "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.PR"
    ],
    [
      "openalex",
      "2610|Mathematical Dynamics and Fractals"
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  ],
  "openalex": "W7172431274",
  "pdf_url": "https://arxiv.org/pdf/2608.00295",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-07",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/a97tezh16rep0.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:19:57Z",
      "native_id": "2608.00295",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.00295"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.PR",
      "subfield": "probability"
    }
  ],
  "title": "Quadratic Perturbations of Markov Systems",
  "title_text": "Quadratic Perturbations of Markov Systems",
  "type": "preprint",
  "updated_at": "2026-10-30T12:19:57Z",
  "url": "https://research.draconitic.com/paper/a97tezh16rep0",
  "venue": "arXiv",
  "versions": []
}