{
  "abstract": "We study the long-term behaviour of refracted Lévy processes within a half-line, with killing on exiting the domain and at state-dependent rate inside it. We identify the decay rate of the killed semigroup together with the associated invariant function and measure, and we obtain convergence at exponential rate to a Yaglom limit. The proofs make use of R-theory and Lyapunov function techniques.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.29326",
  "author_total": 2,
  "authors": [
    {
      "name": "Ramkrishna Jyoti Samanta"
    },
    {
      "name": "Alexander R. Watson"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/dq0w20h5thv2x.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.29326",
  "fulltext_url": null,
  "id": "dq0w20h5thv2x",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.29326",
  "language": null,
  "licence": "CC-BY-SA-4.0",
  "licence_label": "CC BY-SA 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-sa/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.PR"
    ],
    [
      "openalex",
      "2610|Stochastic processes and statistical mechanics"
    ]
  ],
  "openalex": "W7214286289",
  "pdf_url": "https://arxiv.org/pdf/2609.29326",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-24",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/dq0w20h5thv2x.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:24:15Z",
      "native_id": "2609.29326",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.29326"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.PR",
      "subfield": "probability"
    }
  ],
  "title": "Long-term behaviour of refracted Lévy processes in a half-line",
  "title_text": "Long-term behaviour of refracted Lévy processes in a half-line",
  "type": "preprint",
  "updated_at": "2026-10-30T12:24:15Z",
  "url": "https://research.draconitic.com/paper/dq0w20h5thv2x",
  "venue": "arXiv",
  "versions": []
}