{
  "abstract": "This paper deals with the pullback measure attractor for a non-autonomous distribution-dependent stochastic lattice wave equation with nonlinear noise on $\\mathbb{Z}$. We establish well-posedness in the energy space $\\ell^{2}\\times\\ell^{2}$ and show that the solution generates a continuous non-autonomous dynamical system on $\\mathcal{P}_{4}(\\ell^{2}\\times\\ell^{2})$, which possesses a unique pullback measure attractor $\\mathcal{A}$. Furthermore, we prove the convergence of the attractor $\\mathcal{A}^{\\varepsilon}$ as $\\varepsilon\\to 0^{+}$ to the attractor of the corresponding distribution-independent limit system.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.16388",
  "author_total": 3,
  "authors": [
    {
      "name": "Huixia Wen"
    },
    {
      "name": "Ji Shu"
    },
    {
      "name": "Gang He"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/587p1srj6mcr0.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.16388",
  "fulltext_url": null,
  "id": "587p1srj6mcr0",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.16388",
  "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"
    ],
    [
      "arxiv",
      "math.PR"
    ],
    [
      "openalex",
      "2207|Stability and Controllability of Differential Equations"
    ]
  ],
  "openalex": "W7221817442",
  "pdf_url": "https://arxiv.org/pdf/2610.16388",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-12",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/587p1srj6mcr0.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:15Z",
      "native_id": "2610.16388",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.16388"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DS",
      "subfield": "dynamical-systems"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.PR",
      "subfield": "probability"
    }
  ],
  "title": "$\\mathcal{D}$-Pullback Measure Attractors of McKean-Vlasov Stochastic Lattice Wave Equations",
  "title_text": "𝒟-Pullback Measure Attractors of McKean-Vlasov Stochastic Lattice Wave Equations",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:15Z",
  "url": "https://research.draconitic.com/paper/587p1srj6mcr0",
  "venue": "arXiv",
  "versions": []
}