{
  "abstract": "We revisit the relation between discrete- and continuous-time stationary dynamic optimization, using both the Bellman and Hamiltonian descriptions. We study the problem of embedding discrete Bellman--Lax--Oleinik operators and the associated Hamiltonian cascades into continuous-time dynamics. Rather subtle obstructions to such embeddings emerge even under the most natural assumptions.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.41436",
  "author_total": 1,
  "authors": [
    {
      "name": "Sergei Yakovenko"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/28gsavt8de8bc.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.41436",
  "fulltext_url": null,
  "id": "28gsavt8de8bc",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.41436",
  "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",
      "math.OC"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2610.41436",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-30",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/28gsavt8de8bc.ris",
  "sources": [
    {
      "first_seen": "2026-11-02T12:21:20Z",
      "native_id": "2610.41436",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.41436"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.OC",
      "subfield": "optimisation-control"
    }
  ],
  "title": "Bellman semigroups. Quarante ans d'après",
  "title_text": "Bellman semigroups. Quarante ans d'après",
  "type": "preprint",
  "updated_at": "2026-11-04T15:20:52Z",
  "url": "https://research.draconitic.com/paper/28gsavt8de8bc",
  "venue": "arXiv",
  "versions": []
}