{
  "abstract": "Finite populations of supermassive black-hole binaries produce fluctuations in both gravitational-wave power and pulsar timing correlations. We characterize the realization-dependent, orientation-averaged Earth-term angular correlation through its frequency-resolved Legendre coefficients. A hybrid model of bright sources and a Gaussian faint background extends the conditional Gamma distribution in the many-weak-source limit to non-central $χ^2$ statistics, yielding correlated multipoles after population marginalization. Our analytical variance decomposition and SMBHB population simulations reveal a population-dependent transition from interference dominated variance at low frequencies to population-power-dominated variance at high frequencies. In the many-weak-source regime, a multivariate lognormal approximation captures the main features of the joint distribution using only the first two log-cumulants. These results provide statistical benchmarks for fluctuations in both the overall amplitude and angular structure of the realized correlation.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.32809",
  "author_total": 3,
  "authors": [
    {
      "name": "Yan-Chen Bi"
    },
    {
      "name": "Yu-Mei Wu"
    },
    {
      "name": "Qing-Guo Huang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/443z9j4022dpj.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.32809",
  "fulltext_url": null,
  "id": "443z9j4022dpj",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.32809",
  "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",
      "astro-ph.CO"
    ],
    [
      "arxiv",
      "gr-qc"
    ],
    [
      "openalex",
      "3103|Pulsars and Gravitational Waves Research"
    ]
  ],
  "openalex": "W7223652667",
  "pdf_url": "https://arxiv.org/pdf/2610.32809",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-23",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/443z9j4022dpj.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:15Z",
      "native_id": "2610.32809",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.32809"
    }
  ],
  "subjects": [
    {
      "field": "astronomy",
      "origin": "arxiv:astro-ph.CO",
      "subfield": "cosmology"
    },
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    }
  ],
  "title": "Joint Angular-Power Distributions of Interfering Nanohertz Gravitational Waves",
  "title_text": "Joint Angular-Power Distributions of Interfering Nanohertz Gravitational Waves",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:15Z",
  "url": "https://research.draconitic.com/paper/443z9j4022dpj",
  "venue": "arXiv",
  "versions": []
}