{
  "abstract": "Let $G$ be a locally compact, second countable group admitting a Reiter sequence, and suppose that $G$ acts on a von Neumann algebra $\\mathcal{M}$ equipped with a semifinite trace $τ$ via trace-preserving automorphisms. In this paper, we prove a maximal inequality for ergodic averages along such Reiter sequences. Our approach relies on approximating the Reiter sequence by a linear combination of characteristic functions of Følner sequences using the layer-cake representation. Furthermore, we establish the bilateral almost uniform convergence of these ergodic averages. As an application, we deduce a non-commutative Wiener-Wintner type theorem along Reiter sequences.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.16580",
  "author_total": 4,
  "authors": [
    {
      "name": "Panchugopal Bikram"
    },
    {
      "name": "Sudipta Kundu"
    },
    {
      "name": "Hariharan G"
    },
    {
      "name": "Diptesh Saha"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/3ezzbkrc0hd60.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.16580",
  "fulltext_url": null,
  "id": "3ezzbkrc0hd60",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.16580",
  "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.FA"
    ],
    [
      "arxiv",
      "math.OA"
    ],
    [
      "openalex",
      "2610|Advanced Operator Algebra Research"
    ]
  ],
  "openalex": "W7221835214",
  "pdf_url": "https://arxiv.org/pdf/2610.16580",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-12",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/3ezzbkrc0hd60.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:15Z",
      "native_id": "2610.16580",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.16580"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.FA",
      "subfield": "analysis-pdes"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.DS",
      "subfield": "dynamical-systems"
    }
  ],
  "title": "Pointwise Ergodic Theorems Along Reiter Sequences on Locally Compact Groups",
  "title_text": "Pointwise Ergodic Theorems Along Reiter Sequences on Locally Compact Groups",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:15Z",
  "url": "https://research.draconitic.com/paper/3ezzbkrc0hd60",
  "venue": "arXiv",
  "versions": []
}