{
  "annotation_id": "dac1c688-fe0b-4162-87c9-2c1e4bd052e1",
  "date_created": "2026-03-02T18:01:10.956000Z",
  "date_modified": "2026-03-02T18:01:10.956000Z",
  "file_hash": "570aaf46019a2d76dec94033ff9c5319cc8142cba48f0ce0fe6fb75869ff8a17",
  "private": false,
  "record": {
    "abstract": "A stochastic analysis of financial data is presented. In particular we\ninvestigate how the statistics of log returns change with different time delays\n$\\tau$. The scale dependent behaviour of financial data can be divided into two\nregions. The first time-range, the small-timescale region (in the range of\nseconds) seems to be characterized by universal features. The second\ntime-range, the medium-timescale range from several minutes upwards and can be\ncharacterized by a cascade process, which is given by a stochastic Markov\nprocess in the scale $\\tau$. A corresponding Fokker-Planck equation can be\nextracted from given data and provides a non equilibrium thermodynamical\ndescription of the complexity of financial data.",
    "arxiv_id": "physics/0608103",
    "authors": [
      "Andreas P. Nawroth",
      "Joachim Peinke"
    ],
    "categories": [
      "physics.data-an"
    ],
    "doi": "10.1016/j.physa.2007.03.041",
    "title": "Medium and Small Scale Analysis of Financial Data",
    "url": "https://arxiv.org/abs/physics/0608103"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "8e6c6f95-be9b-42d0-ba0f-f2a53ff0365e",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}