{
  "abstract": "We study reduction and reconstruction of reflected backward stochastic differential equations (RBSDEs) across random horizons. We establish optional and predictable contact-measure transfer criteria by dual projection, prove a Cox survival identity for arbitrary integrable reflection measures (including atoms), and give a Brownian Cox reconstruction theorem with continuous obstacles and a converse within a specified reduction class. We also isolate componentwise minimality criteria for irregular obstacles and predictable reflection. The unresolved semimartingale and obstacle transport problems for general non-Cox invariance times are formulated as open questions rather than asserted as theorems. The paper distinguishes established results from conditional constructions.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.31988",
  "author_total": 2,
  "authors": [
    {
      "name": "Youssef Ouknine"
    },
    {
      "name": "Badr Elmansouri"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/d9kst067ecy2s.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.31988",
  "fulltext_url": null,
  "id": "d9kst067ecy2s",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.31988",
  "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",
      "2003|Stochastic processes and financial applications"
    ]
  ],
  "openalex": "W7223669728",
  "pdf_url": "https://arxiv.org/pdf/2610.31988",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-22",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/d9kst067ecy2s.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:19Z",
      "native_id": "2610.31988",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.31988"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.PR",
      "subfield": "probability"
    }
  ],
  "title": "Reflected BSDEs under random horizons: Sharp support criteria, irregular reflection, and Cox reconstruction",
  "title_text": "Reflected BSDEs under random horizons: Sharp support criteria, irregular reflection, and Cox reconstruction",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:19Z",
  "url": "https://research.draconitic.com/paper/d9kst067ecy2s",
  "venue": "arXiv",
  "versions": []
}