{
  "abstract": "In the paper we introduce vector-valued dynamic extended graphons in order to obtain the mean-filed limit for certain class of problems with adaptive weights. We impose fairly general assumptions on the matrix of initial connections, which allows us to cover the case of sparse graphs.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2607.21110",
  "author_total": 1,
  "authors": [
    {
      "name": "Katarzyna Ryszewska"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/656pgbd8arrnz.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2607.21110",
  "fulltext_url": null,
  "id": "656pgbd8arrnz",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2607.21110",
  "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.AP"
    ],
    [
      "arxiv",
      "math.PR"
    ],
    [
      "openalex",
      "2610|Stochastic processes and statistical mechanics"
    ]
  ],
  "openalex": "W7170518437",
  "pdf_url": "https://arxiv.org/pdf/2607.21110",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-29",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/656pgbd8arrnz.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:36:32Z",
      "native_id": "2607.21110",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2607.21110"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.PR",
      "subfield": "probability"
    }
  ],
  "title": "The mean-field limit of non-exchangeable particle systems with non-conservative dynamics and adaptive weights",
  "title_text": "The mean-field limit of non-exchangeable particle systems with non-conservative dynamics and adaptive weights",
  "type": "preprint",
  "updated_at": "2026-11-01T12:20:50Z",
  "url": "https://research.draconitic.com/paper/656pgbd8arrnz",
  "venue": "arXiv",
  "versions": []
}