{
  "abstract": "We study the large time behavior of a periodic ASEP with fixed period started from the step initial condition. We establish the limit shape theorem and the asymptotic distribution of a single second class particle. Our single-species results extend the previous results of Lam and Ayyer-Linusson about periodic TASEP to the ASEP case. These results can also be interpreted as describing the limit behavior of a random walk on affine Hecke algebra.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.10358",
  "author_total": 2,
  "authors": [
    {
      "name": "Alexey Bufetov"
    },
    {
      "name": "Nimisha Pahuja"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/0qb27jkdfakep.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.10358",
  "fulltext_url": null,
  "id": "0qb27jkdfakep",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.10358",
  "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.CO"
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      "arxiv",
      "math.PR"
    ],
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      "openalex",
      "2610|Stochastic processes and statistical mechanics"
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  "openalex": "W7212173148",
  "pdf_url": "https://arxiv.org/pdf/2609.10358",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-09",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/0qb27jkdfakep.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:20:16Z",
      "native_id": "2609.10358",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.10358"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CO",
      "subfield": "combinatorics"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.PR",
      "subfield": "probability"
    }
  ],
  "title": "Periodic ASEP and random walks on affine Hecke Algebra",
  "title_text": "Periodic ASEP and random walks on affine Hecke Algebra",
  "type": "preprint",
  "updated_at": "2026-10-30T12:20:16Z",
  "url": "https://research.draconitic.com/paper/0qb27jkdfakep",
  "venue": "arXiv",
  "versions": []
}