{
  "abstract": "We study the exponential Green energies associated with a finite point configuration on a Riemann surface. We focus on studying optimal or close-to-optimal configurations, and show that they must be well-spread out on the surface. We study in particular the round sphere and obtain values for the minimal Green energy of a configuration. The first version of this paper was written with the help of ChatGPT.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.15004",
  "author_total": 2,
  "authors": [
    {
      "name": "Haakan Hedenmalm"
    },
    {
      "name": "Song-Yan Xie"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/7w49jqr1ddz7a.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.15004",
  "fulltext_url": null,
  "id": "7w49jqr1ddz7a",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.15004",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.CV"
    ],
    [
      "arxiv",
      "math.DG"
    ],
    [
      "openalex",
      "2612|Mathematical Approximation and Integration"
    ]
  ],
  "openalex": "W7221809588",
  "pdf_url": "https://arxiv.org/pdf/2610.15004",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-10",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/7w49jqr1ddz7a.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:15Z",
      "native_id": "2610.15004",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.15004"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CV",
      "subfield": "analysis-pdes"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.DG",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Exponential Green energies, quantization, and minimizers on compact Riemann surfaces",
  "title_text": "Exponential Green energies, quantization, and minimizers on compact Riemann surfaces",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:15Z",
  "url": "https://research.draconitic.com/paper/7w49jqr1ddz7a",
  "venue": "arXiv",
  "versions": []
}