{
  "annotation_id": "2ce555b8-a316-4118-b020-6e40ae99c87e",
  "date_created": "2026-03-02T18:01:18.438000Z",
  "date_modified": "2026-03-02T18:01:18.438000Z",
  "file_hash": "be032d98c48e30a0bc1820d2fcf43e89a9d3954aa7c84315a4cdbfa3fdc7d5c6",
  "private": false,
  "record": {
    "abstract": "We present simple classical dynamical models to illustrate the idea of\nintroducing a stochasticity with non-locality into the time variable. For\nstochasticity in time, these models include noise in the time variable but not\nin the \"space\" variable, which is opposite to the normal description of\nstochastic dynamics. Similarly with respect to non-locality, we discuss delayed\nand predictive dynamics which involve two points separated on the time axis.\nWith certain combinations of fluctuations and non-locality in time, we observe\na ``resonance\u0027\u0027 effect. This is an effect similar to stochastic resonance,\nwhich has been discussed within the normal context of stochastic dynamics, but\nwith different mechanisms. We discuss how these models may be developed to fit\na broader context of generalized dynamical systems where fluctuations and\nnon-locality are present in both space and time.",
    "arxiv_id": "physics/0701078",
    "authors": [
      "Toru Ohira"
    ],
    "categories": [
      "physics.gen-ph",
      "physics.data-an"
    ],
    "doi": "10.1016/j.physa.2007.01.015",
    "title": "Stochasticity and Non-locality of Time",
    "url": "https://arxiv.org/abs/physics/0701078"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "7be22d98-4350-4ae1-9c80-f398dd90ff10",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}