{
  "abstract": "We consider a time-homogeneous random walk in a strip of a two-dimensional lattice whose transition probabilities are invariant under shifts along one of the coordinates. We study the limiting distribution of the first hitting point into a boundary set as the initial condition tends to infinity. Explicit expressions are obtained for this limiting distribution for negative and zero mean drift.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.35406",
  "author_total": 2,
  "authors": [
    {
      "name": "I. M. Kuzin"
    },
    {
      "name": "A. A. Zamyatin"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2cpr115jvggec.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.35406",
  "fulltext_url": null,
  "id": "2cpr115jvggec",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.35406",
  "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.PR"
    ],
    [
      "openalex",
      "2610|Stochastic processes and statistical mechanics"
    ]
  ],
  "openalex": "W7223878461",
  "pdf_url": "https://arxiv.org/pdf/2610.35406",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-26",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2cpr115jvggec.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:40Z",
      "native_id": "2610.35406",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.35406"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.PR",
      "subfield": "probability"
    }
  ],
  "title": "Distribution of the First Hitting Point on a Boundary Set for a Random Walk in a Lattice Strip",
  "title_text": "Distribution of the First Hitting Point on a Boundary Set for a Random Walk in a Lattice Strip",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:40Z",
  "url": "https://research.draconitic.com/paper/2cpr115jvggec",
  "venue": "arXiv",
  "versions": []
}