{
  "annotation_id": "bcd24302-e78d-4319-b35c-4166652cd238",
  "date_created": "2026-03-02T18:00:53.299000Z",
  "date_modified": "2026-03-02T18:00:53.299000Z",
  "file_hash": "7e68613dd2fd97d023988cff4063e75ce5f57566bd84da07b4962f15361c8b3a",
  "private": false,
  "record": {
    "abstract": "We consider joint probability distributions for the class of coupled Langevin\nequations introduced by Fogedby [H.C. Fogedby, Phys. Rev. E 50, 1657 (1994)].\nWe generalize well-known results for the single time probability distributions\nto the case of N-time joint probability distributions. It is shown that these\nprobability distribution functions can be obtained by an integral transform\nfrom distributions of a Markovian process. The integral kernel obeys a partial\ndifferential equation with fractional time derivatives reflecting the\nnon-Markovian character of the process.",
    "arxiv_id": "physics/0411179",
    "authors": [
      "A. Baule",
      "R. Friedrich"
    ],
    "categories": [
      "physics.flu-dyn",
      "physics.data-an"
    ],
    "doi": "10.1103/PhysRevE.71.026101",
    "journal_ref": "Physical Review E 71, 026101 (2005)",
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "title": "Joint Probability Distributions for a Class of Non-Markovian Processes",
    "url": "https://arxiv.org/abs/physics/0411179"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "4b4df905-eb74-4f16-87a0-f839f05b4f42",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}