{
  "annotation_id": "99e68835-a9e3-4cf3-9a39-c38769bbd46b",
  "date_created": "2026-03-02T18:02:41.490000Z",
  "date_modified": "2026-03-02T18:02:41.490000Z",
  "file_hash": "43c669f6be28623d480e4bc4cd63b65ec9bc4934f6520972d9cba9e689f03324",
  "private": false,
  "record": {
    "abstract": "We discuss a connection (and a proper place in this framework) of the\nunforced and deterministically forced Burgers equation for local velocity\nfields of certain flows, with probabilistic solutions of the so-called\nSchr\\\"{o}dinger interpolation problem. The latter allows to reconstruct the\nmicroscopic dynamics of the system from the available probability density data,\nor the input-output statistics in the phenomenological situations. An issue of\ndeducing the most likely dynamics (and matter transport) scenario from the\ngiven initial and terminal probability density data, appropriate e.g. for\nstudying chaos in terms of densities, is here exemplified in conjunction with\nBorn\u0027s statistical interpretation postulate in quantum theory, that yields\nstochastic processes which are compatible with the Schr\\\"{o}dinger picture free\nquantum evolution.",
    "arxiv_id": "quant-ph/9710015",
    "authors": [
      "P. Garbaczewski",
      "G. Kondrat",
      "R. Olkiewicz"
    ],
    "categories": [
      "quant-ph",
      "chao-dyn",
      "nlin.CD"
    ],
    "doi": "10.1016/S0960-0779(97)00046-5",
    "journal_ref": "Chaos Solitons Fractals 9 (1998) 29-41",
    "title": "Schroedinger\u0027s Interpolating Dynamics and Burgers\u0027 Flows",
    "url": "https://arxiv.org/abs/quant-ph/9710015"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ca8b038f-524e-4cf7-88d0-099a517c15ef",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}