{
  "abstract": "Near the neutral fixed point of an intermittent map, a single entrance into a small target can be followed by a long run of consecutive visits, so the number of visits need not follow its mean. We study targets $[0,u_n]$ for iid random compositions of Liverani-Saussol-Vaienti maps with a bounded parameter law that is regularly varying at its minimum $α\\in(0,1)$; this includes a single map. For $u_n=cn^{-g}L(n)$, where $c>0$, $0<g\\leq1$ and $L$ is slowly varying, the visit count is almost surely asymptotic to its mean if and only if $\\sum_n n^{-1}(nu_n)^{-(1-α)/α}<\\infty$. Under the stationary law, the count divided by its mean converges to one in $L^1$ exactly when $nu_n\\to\\infty$. Thus clusters of visits separate these two modes of convergence.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.03010",
  "author_total": 1,
  "authors": [
    {
      "name": "Qihang Wang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/1jwddzq8rn4q7.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.03010",
  "fulltext_url": null,
  "id": "1jwddzq8rn4q7",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.03010",
  "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.DS"
    ],
    [
      "arxiv",
      "math.PR"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.03010",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-02",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/1jwddzq8rn4q7.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:21:14Z",
      "native_id": "2611.03010",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.03010"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DS",
      "subfield": "dynamical-systems"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.PR",
      "subfield": "probability"
    }
  ],
  "title": "Strong Borel-Cantelli laws and clusters of visits for random intermittent maps",
  "title_text": "Strong Borel-Cantelli laws and clusters of visits for random intermittent maps",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:28Z",
  "url": "https://research.draconitic.com/paper/1jwddzq8rn4q7",
  "venue": "arXiv",
  "versions": []
}