{
  "abstract": "We study the many-body boson star equation in the mean-field regime. Under a decay assumption on the solution to the effective one-body equation, we prove a uniform-in-time trace-norm estimate comparing the one-particle reduced density matrix of the many-body state with the projection onto the one-body solution. This establishes uniform-in-time mean-field convergence as the particle number goes to infinity. Furthermore, for the many-body dynamics, we establish both a maximal velocity bound, which can be seen as a Lieb-Robinson-type bound, and a minimal velocity bound. As an application, we recover maximal and minimal velocity bounds for the one-body boson star equation by passing to the mean-field limit.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.36388",
  "author_total": 5,
  "authors": [
    {
      "name": "Sébastien Breteaux"
    },
    {
      "name": "Charlotte Dietze"
    },
    {
      "name": "Jérémy Faupin"
    },
    {
      "name": "Viviana Grasselli"
    },
    {
      "name": "Jinyeop Lee"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/4gkt5hm3kyyf6.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.36388",
  "fulltext_url": null,
  "id": "4gkt5hm3kyyf6",
  "issns": [],
  "landing_url": "https://hal.science/hal-05844717v1",
  "language": "en",
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math-ph"
    ],
    [
      "arxiv",
      "math.MP"
    ],
    [
      "hal",
      "0.math"
    ],
    [
      "openalex",
      "2610|Advanced Mathematical Physics Problems"
    ]
  ],
  "openalex": "W7224084891",
  "pdf_url": "https://hal.science/hal-05844717/document",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-26",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/4gkt5hm3kyyf6.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:03Z",
      "native_id": "hal-05844717",
      "source": "hal",
      "url": "https://hal.science/hal-05844717v1"
    },
    {
      "first_seen": "2026-10-30T12:35:50Z",
      "native_id": "2610.36388",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.36388"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    }
  ],
  "title": "PROPAGATION ESTIMATES FOR THE MANY-BODY BOSON STAR EQUATION",
  "title_text": "PROPAGATION ESTIMATES FOR THE MANY-BODY BOSON STAR EQUATION",
  "type": "preprint",
  "updated_at": "2026-10-31T12:20:56Z",
  "url": "https://research.draconitic.com/paper/4gkt5hm3kyyf6",
  "venue": "HAL",
  "versions": []
}