{
  "abstract": "We consider the left translation action of an element $a$ on a finite-volume semisimple homogeneous space $G/Γ$, where $\\operatorname{Ad}(a)$ is diagonalizable over $\\mathbb{R}$. Assuming exponential mixing, we prove a sub-Gaussian large-deviation estimate for compactly supported smooth test functions. As an application, we prove effective uniqueness of the measure of maximal entropy. We also obtain quantitative pointwise equidistribution for Haar-almost every point on each full expanding horosphere.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.32814",
  "author_total": 2,
  "authors": [
    {
      "name": "Taehyeong Kim"
    },
    {
      "name": "Ron Mor"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/fb8kpgev61t8s.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.32814",
  "fulltext_url": null,
  "id": "fb8kpgev61t8s",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.32814",
  "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"
    ],
    [
      "openalex",
      "2610|Mathematical Dynamics and Fractals"
    ]
  ],
  "openalex": "W7223659174",
  "pdf_url": "https://arxiv.org/pdf/2610.32814",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-23",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/fb8kpgev61t8s.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:19Z",
      "native_id": "2610.32814",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.32814"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DS",
      "subfield": "dynamical-systems"
    }
  ],
  "title": "Large deviations and applications in homogeneous dynamics",
  "title_text": "Large deviations and applications in homogeneous dynamics",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:19Z",
  "url": "https://research.draconitic.com/paper/fb8kpgev61t8s",
  "venue": "arXiv",
  "versions": []
}