{
  "abstract": "We develop a jump-process formalism for the probability density function (PDF) of gravitational lensing fields. In the Born approximation, each lens adds a jump to the convergence $κ$ and the two components of the shear, making lensing a jump process in redshift. For independent lenses, the joint PDF of the lensing fields obeys a compensated Kolmogorov-Feller equation, which we solve in closed form in Fourier space and extend to clustered lenses using their two-point correlation function. A Fourier-Hankel inversion then yields the joint PDF of $κ$ and the shear magnitude $γ$, from which the magnification PDF follows, including its high-magnification tail, without sampling noise. We use these PDFs to train an updated version of the FLUMEN emulator, which makes likelihood-based inference from the full magnification distribution feasible across cosmologies. To motivate such analyses, we estimate that samples of $10^4$ Roman supernovae, $10^5$ Rubin supernovae, 300 Einstein Telescope standard sirens, and 12 LISA standard sirens could constrain the matter fluctuation amplitude $σ_8$ respectively to 4.8\\%, 5.1\\%, 8.5\\%, and 19\\%, with the other cosmological parameters fixed.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.40341",
  "author_total": 2,
  "authors": [
    {
      "name": "Galymzhan Baltabay"
    },
    {
      "name": "Ville Vaskonen"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/1rp1k8z8aq0c0.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.40341",
  "fulltext_url": null,
  "id": "1rp1k8z8aq0c0",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.40341",
  "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"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2610.40341",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-29",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/1rp1k8z8aq0c0.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:36:28Z",
      "native_id": "2610.40341",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.40341"
    }
  ],
  "subjects": [
    {
      "field": "astronomy",
      "origin": "arxiv:astro-ph.CO",
      "subfield": "cosmology"
    }
  ],
  "title": "Cosmological lensing as a jump process",
  "title_text": "Cosmological lensing as a jump process",
  "type": "preprint",
  "updated_at": "2026-11-01T12:20:47Z",
  "url": "https://research.draconitic.com/paper/1rp1k8z8aq0c0",
  "venue": "arXiv",
  "versions": []
}