{
  "abstract": "We establish a near-optimal upper bound $\\exp(\\exp(CN^{1+o(1)}))$ for the $N$-th moment of the critical two-dimensional stochastic heat flow, improving on the bound $\\exp(\\exp(CN^{2}))$ of Gu, Quastel, and Tsai. Near-optimality follows from the lower bound $\\exp(\\exp(cN))$ of Ganguly and Nam. These estimates establish the exponential scale of the ground-state energy of the two-dimensional $N$-body delta-Bose gas predicted by Rajeev's conjecture, up to a vanishing error in the exponent. As a further step toward this conjecture, we derive, for each fixed $N$, a formula for the ground-state energy in terms of the bottom of the spectrum of a principal operator.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.03191",
  "author_total": 2,
  "authors": [
    {
      "name": "Xue-Mei Li"
    },
    {
      "name": "Te-Chun Wang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/06ykkyay9es2v.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.03191",
  "fulltext_url": null,
  "id": "06ykkyay9es2v",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.03191",
  "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-ph"
    ],
    [
      "arxiv",
      "math.FA"
    ],
    [
      "arxiv",
      "math.MP"
    ],
    [
      "arxiv",
      "math.PR"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.03191",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-02",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/06ykkyay9es2v.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:21:04Z",
      "native_id": "2611.03191",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.03191"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.FA",
      "subfield": "analysis-pdes"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.PR",
      "subfield": "probability"
    }
  ],
  "title": "Near-optimal bounds for the critical 2d SHF and the delta-Bose gas",
  "title_text": "Near-optimal bounds for the critical 2d SHF and the delta-Bose gas",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:28Z",
  "url": "https://research.draconitic.com/paper/06ykkyay9es2v",
  "venue": "arXiv",
  "versions": []
}