{
  "abstract": "We study Fisher-KPP equations on hyperbolic space with reactions periodic in a Busemann coordinate or in the distance from a point or a geodesic. We determine spectral thresholds for extinction and persistence, including critical extinction from $L^2$ data, and characterize the signed speeds of horospherical fronts. In the hyperbolic plane, we construct a smooth periodic reaction admitting a positive stationary solution that decays away from a geodesic, and determine the spreading speed along the geodesic. For constant linear growth, we obtain logarithmic level positions with bounded error for balls, horoballs and geodesic tubes.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.02923",
  "author_total": 1,
  "authors": [
    {
      "name": "Yuanyang Hu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/fv0z1wnc23sc6.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.02923",
  "fulltext_url": null,
  "id": "fv0z1wnc23sc6",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.02923",
  "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.AP"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.02923",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-02",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/fv0z1wnc23sc6.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:21:14Z",
      "native_id": "2611.02923",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.02923"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Periodic KPP equations in hyperbolic space",
  "title_text": "Periodic KPP equations in hyperbolic space",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:22Z",
  "url": "https://research.draconitic.com/paper/fv0z1wnc23sc6",
  "venue": "arXiv",
  "versions": []
}