{
  "abstract": "We prove quantitative propagation of chaos in total variation for repulsive Vlasov--Riesz--Fokker--Planck (VRFP) equations on $\\mathbb{T}^d$ and $\\mathbb{R}^d$ with unregularized interaction potentials with singularity $|x|^{-s}$, $0<s<d/2$. On every finite time interval on which the limiting classical solution satisfies the stated regularity assumptions, the particle marginals with a product initial law converge at an algebraic rate in the particle number, with constants growing at most exponentially in the marginal order. For the three-dimensional repulsive Vlasov--Poisson--Fokker--Planck (VPFP) equation on $\\mathbb{R}^3$, a weighted $C^m$ initial probability density, $m\\ge3$, with Gaussian velocity decay and polynomial spatial decay of order $M>3$ gives convergence to the global classical solution on every finite time interval. The proof combines conditioning of the initial product law with weighted BBGKY estimates. A decomposition of the potential and a bounded modification of the far-field force yield weighted bounds growing geometrically in the marginal order on the prescribed interval. A centered second-moment estimate permits summation of the error hierarchy, and a synchronous coupling transfers the estimate to the original dynamics.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.40422",
  "author_total": 2,
  "authors": [
    {
      "name": "Ning Jiang"
    },
    {
      "name": "Juntao Wu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/ah75jwmq549ea.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.40422",
  "fulltext_url": null,
  "id": "ah75jwmq549ea",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.40422",
  "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.AP"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2610.40422",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-29",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/ah75jwmq549ea.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:36:35Z",
      "native_id": "2610.40422",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.40422"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Quantitative propagation of chaos on arbitrary finite time intervals for the three-dimensional repulsive Vlasov-Poisson-Fokker-Planck equation",
  "title_text": "Quantitative propagation of chaos on arbitrary finite time intervals for the three-dimensional repulsive Vlasov-Poisson-Fokker-Planck equation",
  "type": "preprint",
  "updated_at": "2026-11-01T12:20:53Z",
  "url": "https://research.draconitic.com/paper/ah75jwmq549ea",
  "venue": "arXiv",
  "versions": []
}