{
  "abstract": "We establish an effective equidistribution theorem on homogeneous spaces for expanding translates of product-type self-affine measures seen on unipotent orbits along any sequence of diagonal elements drifting away from walls. In particular, we do not require the diagonal elements to lie in a fixed proper and closed subcone. The main new ingredients in the proof of our equidistribution theorem include an adaptation of the methods in \\cite{BHZ25} to the setting of product-type self-affine measures, as well as a weighted effective recurrence theorem for intertwined associated random walks. The latter involves decomposing the random walks according to suitable stopping times and applications of intertwined Benoist-Quint height functions.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.22001",
  "author_total": 1,
  "authors": [
    {
      "name": "Han Zhang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/brb34mp8xb95y.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.22001",
  "fulltext_url": null,
  "id": "brb34mp8xb95y",
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  "landing_url": "https://arxiv.org/abs/2610.22001",
  "language": null,
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  "licence_label": "arXiv licence",
  "licence_source": "article",
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  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.DS"
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      "openalex",
      "2610|Mathematical Dynamics and Fractals"
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  "openalex": "W7222395351",
  "pdf_url": "https://arxiv.org/pdf/2610.22001",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-15",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/brb34mp8xb95y.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:54Z",
      "native_id": "2610.22001",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.22001"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DS",
      "subfield": "dynamical-systems"
    }
  ],
  "title": "On effective equidistribution for product-type self-affine measures",
  "title_text": "On effective equidistribution for product-type self-affine measures",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:54Z",
  "url": "https://research.draconitic.com/paper/brb34mp8xb95y",
  "venue": "arXiv",
  "versions": []
}