{
  "abstract": "A coherent radar observes sea clutter through a non-injective multiplicative combination of latent texture and coherence variables. We study a class of partially observed slow--fast diffusions for which the projected quadratic covariance has the form \\(Q=S+qyy^\\top\\), using Field's sea-clutter diffusion as a solvable benchmark. For fixed-shape fast covariance, we derive an exact generalized spectral-gap criterion for recovery of the latent slow coordinate and a stability bound. When the fast covariance changes shape, we obtain an invariant scale--shape decomposition and exact conditions for reinforcement or cancellation of the latent quadratic signature. We then quantify the loss of resolvability caused by finite sampling and receiver noise. Controlled CIR--OU simulations verify the analytic identities and exhibit regimes in which structural observability does not yield stable reconstruction.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.27587",
  "author_total": 2,
  "authors": [
    {
      "name": "Arnaud Coatanhay"
    },
    {
      "name": "Angélique Drémeau"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/1ctqvg1tgfzcn.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.27587",
  "fulltext_url": null,
  "id": "1ctqvg1tgfzcn",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.27587",
  "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.PR"
    ],
    [
      "openalex",
      "2202|Radar Systems and Signal Processing"
    ]
  ],
  "openalex": "W7214225223",
  "pdf_url": "https://arxiv.org/pdf/2609.27587",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-23",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/1ctqvg1tgfzcn.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:24:00Z",
      "native_id": "2609.27587",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.27587"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.PR",
      "subfield": "probability"
    }
  ],
  "title": "Geometry and observability of latent texture-coherence diffusions in coherent sea-clutter radar observations",
  "title_text": "Geometry and observability of latent texture-coherence diffusions in coherent sea-clutter radar observations",
  "type": "preprint",
  "updated_at": "2026-10-30T12:24:00Z",
  "url": "https://research.draconitic.com/paper/1ctqvg1tgfzcn",
  "venue": "arXiv",
  "versions": []
}