{
  "annotation_id": "b70f66e1-48ff-4e81-9caa-e27db95cefeb",
  "date_created": "2026-03-02T18:00:45.962000Z",
  "date_modified": "2026-03-02T18:00:45.962000Z",
  "file_hash": "89268bf229743d20b006d5134a29562b5efb807d59cee70b7420ae2dfec0c76f",
  "private": false,
  "record": {
    "abstract": "For the characterization of surface height profiles we present a new\nstochastic approach which is based on the theory of Markov processes. With this\nanalysis we achieve a characterization of the complexity of the surface\nroughness by means of a Fokker-Planck or Langevin equation, providing the\ncomplete stochastic information of multiscale joint probabilities. The method\nwas applied to different road surface profiles which were measured with high\nresolution. Evidence of Markov properties is shown. Estimations for the\nparameters of the Fokker-Planck equation are based on pure, parameter free data\nanalysis.",
    "arxiv_id": "physics/0310159",
    "authors": [
      "M. Waechter",
      "F. Riess",
      "H. Kantz",
      "J. Peinke"
    ],
    "categories": [
      "physics.data-an"
    ],
    "doi": "10.1209/epl/i2003-00616-4",
    "journal_ref": "Europhys. Lett., 64 (5), pp. 579-585 (2003)",
    "title": "Stochastic analysis of surface roughness",
    "url": "https://arxiv.org/abs/physics/0310159"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "dda373ab-80ef-42e1-a953-38a6a0512294",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}