{
  "annotation_id": "46bcaa03-cd74-403e-9597-73d428fb01a3",
  "date_created": "2026-03-02T18:00:39.762000Z",
  "date_modified": "2026-03-02T18:00:39.762000Z",
  "file_hash": "ba65903233de43027b3c61adf340f185a8a2a58de36bd8e39cc358b3475e7f66",
  "private": false,
  "record": {
    "abstract": "One calls attention to the fact that the stochastic physical systems are not\nrandom completely. They have both random and regular components of their\nevolution. Dynamic system is considered to be a special case of physical system\nwith vanishing stochastic component of evolution. Mathematical technique for\ndescription of regular evolution component of physical systems (stochastic and\ndeterministic) is constructed. The regular component of the system S evolution\nis described explicitly by the statistical average system \u003cS\u003e, which is a\ncontinuous dynamic system. The action for \u003cS\u003e is reduced to the form of the\naction for a set of interacting identical deterministic systems S_d. The form\nof interaction of S_d describes implicitly the character of the stochastic\ncomponent of S evolution. Interplay between the physical system S and the\nstatistical average system \u003cS\u003e in the measurement process is discussed. There\nare at least two different kind of measurement: single measurements\n(S-measurements) connected with measurements in S and mass measurements\n(M-measurements) connected with measurements in \u003cS\u003e. Conventional\nidentification of S-measurement and M-measurement is a source of many\nmisunderstandings and paradoxes.",
    "arxiv_id": "physics/0210003",
    "authors": [
      "Yuri A. Rylov"
    ],
    "categories": [
      "physics.gen-ph"
    ],
    "title": "Dynamics of stochastic systems and peculiarities of measurements in them",
    "url": "https://arxiv.org/abs/physics/0210003"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "673218ba-b596-41e3-b294-c362506f1097",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}