{
  "abstract": "Exponential directed last passage percolation is a random maximization model connected to tandem queues and interacting particle systems. We study the line-to-point model of the percolation, in which the starting point is allowed to vary inside a line boundary, conditioned on an atypically large last-passage time to a fixed endpoint. Extending recent results for the point-to-point model where the starting point is fixed, we develop heuristic predictions for the conditional limit shape and prove corresponding fluctuation results in certain regimes through steepest-descent analysis of exact multi-point formulas. Our calculations suggest that the conditional fluctuations near diagonal are described by Brownian bridges coupled through an additional shared Gaussian component.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.09018",
  "author_total": 2,
  "authors": [
    {
      "name": "Rishi Dadlani"
    },
    {
      "name": "Shaotian Sun"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/cq1zhh42ms3m8.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.09018",
  "fulltext_url": null,
  "id": "cq1zhh42ms3m8",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.09018",
  "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.MP"
    ],
    [
      "arxiv",
      "math.PR"
    ],
    [
      "openalex",
      "2610|Stochastic processes and statistical mechanics"
    ]
  ],
  "openalex": "W7221027665",
  "pdf_url": "https://arxiv.org/pdf/2610.09018",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-06",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/cq1zhh42ms3m8.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:37Z",
      "native_id": "2610.09018",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.09018"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.PR",
      "subfield": "probability"
    }
  ],
  "title": "Conditional Flat Exponential Directed Last Passage Percolation under a One-Point Upper Large Deviation Event",
  "title_text": "Conditional Flat Exponential Directed Last Passage Percolation under a One-Point Upper Large Deviation Event",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:42Z",
  "url": "https://research.draconitic.com/paper/cq1zhh42ms3m8",
  "venue": "arXiv",
  "versions": []
}