{
  "abstract": "The KPZ upper-tail field introduced by Liu and Zhang arises as the scaling limit of the narrow-wedge KPZ fixed point in a microscopic neighborhood of a conditioned large height. In this paper, we give a direct probabilistic identification of the upper-tail field. We identify the grounded positive-time sector with the KPZ fixed point started from the two-sided Brownian \\(V\\)-profile \\(B_{\\mathrm{ts}}(2x)-2|x|\\), while the negative-time sector is represented through an explicit exponential tilt of the same evolution. The argument uses the directed-landscape variational structure and the local Brownian comparison under upper-tail conditioning. As consequences of these representations, we recover probabilistically the positive- and negative-time large-scale limits of the KPZ upper-tail field.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.26424",
  "author_total": 1,
  "authors": [
    {
      "name": "Ruixuan Zhang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/8wt2mrq3dcqq3.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.26424",
  "fulltext_url": null,
  "id": "8wt2mrq3dcqq3",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.26424",
  "language": null,
  "licence": "CC-BY-NC-ND-4.0",
  "licence_label": "CC BY-NC-ND 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.PR"
    ],
    [
      "openalex",
      "2610|Stochastic processes and statistical mechanics"
    ]
  ],
  "openalex": "W7214118759",
  "pdf_url": "https://arxiv.org/pdf/2609.26424",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-22",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/8wt2mrq3dcqq3.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:43Z",
      "native_id": "2609.26424",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.26424"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.PR",
      "subfield": "probability"
    }
  ],
  "title": "The KPZ Upper-Tail Field as a KPZ Fixed Point with Brownian Initial Data",
  "title_text": "The KPZ Upper-Tail Field as a KPZ Fixed Point with Brownian Initial Data",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:43Z",
  "url": "https://research.draconitic.com/paper/8wt2mrq3dcqq3",
  "venue": "arXiv",
  "versions": []
}