{
  "abstract": "In this paper, we first develop novel tools of independent interest in the field of stochastic calculus related to SDEs with distributional drift, namely the formulation of a quasi-Stroock-Varadhan martingale problem in the sense that the test functions are of class $C^{1,2}$ instead of solutions of Kolmogorov type PDE. This has several applications, among which, the time restriction and the notion of conditional rough martingale problem and related solution.",
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  "article_type": null,
  "arxiv": "2610.39903",
  "author_total": 3,
  "authors": [
    {
      "name": "Luca Bondi"
    },
    {
      "name": "Elena Issoglio"
    },
    {
      "name": "Francesco Russo"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/7phjp0n0m8hve.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.39903",
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  "native_subjects": [
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      "arxiv",
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  "openalex": null,
  "pdf_url": "https://hal.science/hal-05843349/document",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-29",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/7phjp0n0m8hve.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:03Z",
      "native_id": "hal-05843349",
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      "url": "https://hal.science/hal-05843349v1"
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      "native_id": "2610.39903",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.39903"
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  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.PR",
      "subfield": "probability"
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  "title": "Interacting particles in random irregular media",
  "title_text": "Interacting particles in random irregular media",
  "type": "preprint",
  "updated_at": "2026-11-01T12:20:50Z",
  "url": "https://research.draconitic.com/paper/7phjp0n0m8hve",
  "venue": "HAL",
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}