{
  "abstract": "We prove uniform endpoint estimates, killed local limits, and conditioned-bridge invariance principles for triangular arrays of centered, aperiodic, integer-valued random walks with uniform exponential tails. The endpoint estimates cover all nonnegative heights, while the local limits treat positive diffusive and zero endpoints. The increment law may vary with the scaling parameter.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.02257",
  "author_total": 1,
  "authors": [
    {
      "name": "Jiaming Xu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/9a3cq5j8bdm40.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.02257",
  "fulltext_url": null,
  "id": "9a3cq5j8bdm40",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.02257",
  "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.PR"
    ],
    [
      "openalex",
      "2610|Stochastic processes and statistical mechanics"
    ]
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  "openalex": "W7207594839",
  "pdf_url": "https://arxiv.org/pdf/2609.02257",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-25",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/9a3cq5j8bdm40.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:40Z",
      "native_id": "2609.02257",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.02257"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.PR",
      "subfield": "probability"
    }
  ],
  "title": "Aperiodic random walks: uniform estimates, local limits and invariance principles",
  "title_text": "Aperiodic random walks: uniform estimates, local limits and invariance principles",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:40Z",
  "url": "https://research.draconitic.com/paper/9a3cq5j8bdm40",
  "venue": "arXiv",
  "versions": []
}