{
  "abstract": "We construct a finite-energy Wigner counterexample and a concrete one-parameter family of Gaussian-regularised Bernoulli entry laws yielding counterexamples to the conjectural dimensional monotonicity of the quadratically penalised logarithmic energy for mean empirical spectral distributions by Chafaï, Dadoun, and Youssef.",
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  "affiliations": [],
  "article_type": null,
  "arxiv": "2607.24170",
  "author_total": 1,
  "authors": [
    {
      "name": "Theodoros Assiotis"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/f2k09xntdyfdt.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2607.24170",
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  "id": "f2k09xntdyfdt",
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  "landing_url": "https://arxiv.org/abs/2607.24170",
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  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
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  "native_subjects": [
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      "arxiv",
      "math-ph"
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      "2613|Random Matrices and Applications"
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  "openalex": "W7171496749",
  "pdf_url": "https://arxiv.org/pdf/2607.24170",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-13",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/f2k09xntdyfdt.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:21:25Z",
      "native_id": "2607.24170",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2607.24170"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
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    {
      "field": "mathematics",
      "origin": "arxiv:math.PR",
      "subfield": "probability"
    }
  ],
  "title": "On non-monotonicity of logarithmic energy for random matrices",
  "title_text": "On non-monotonicity of logarithmic energy for random matrices",
  "type": "preprint",
  "updated_at": "2026-10-30T12:21:29Z",
  "url": "https://research.draconitic.com/paper/f2k09xntdyfdt",
  "venue": "arXiv",
  "versions": []
}