{
  "abstract": "We consider the one-dimensional stirring process on the segment $\\{-N,\\ldots,N\\}$, coupled to boundary dynamics that inject particles from the right reservoir and remove particles from the left reservoir, each acting on a window of size $K$. We investigate the non-equilibrium fluctuations of the system, starting from a product measure associated with a smooth initial profile. The limit Ornstein-Uhlenbeck process is given in terms of the Laplacian and gradient operators acting on test functions satisfying time-dependent Robin boundary conditions that are obtained by linearizing the boundary conditions in the hydrodynamic equation. A central ingredient in our analysis is the derivation of sharp bounds on the space and space-time $v$-functions of arbitrary degree for the centered occupation variables; these bounds were proved in the companion article \\cite{birmpa2025nonequilibriumfluctuationsstirringprocess}.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.32701",
  "author_total": 3,
  "authors": [
    {
      "name": "Panagiota Birmpa"
    },
    {
      "name": "Patrícia Gonçalves"
    },
    {
      "name": "Dimitrios Tsagkarogiannis"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/7mg2436gdbk13.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.32701",
  "fulltext_url": null,
  "id": "7mg2436gdbk13",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.32701",
  "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-ph"
    ],
    [
      "arxiv",
      "math.MP"
    ],
    [
      "arxiv",
      "math.PR"
    ],
    [
      "openalex",
      "2610|Stochastic processes and statistical mechanics"
    ]
  ],
  "openalex": "W7223699660",
  "pdf_url": "https://arxiv.org/pdf/2610.32701",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-23",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/7mg2436gdbk13.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:15Z",
      "native_id": "2610.32701",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.32701"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.PR",
      "subfield": "probability"
    }
  ],
  "title": "Non-equilibrium density fluctuations for the stirring process with weak boundary dynamics",
  "title_text": "Non-equilibrium density fluctuations for the stirring process with weak boundary dynamics",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:19Z",
  "url": "https://research.draconitic.com/paper/7mg2436gdbk13",
  "venue": "arXiv",
  "versions": []
}