{
  "annotation_id": "9f408db8-b91f-4034-9984-66d3c08cefa1",
  "date_created": "2026-03-02T18:01:06.808000Z",
  "date_modified": "2026-03-02T18:01:06.808000Z",
  "file_hash": "dc8c66776532733dbfc06d2600cce3732b0713c3138a8ba73a63f93aed9e3f0d",
  "private": false,
  "record": {
    "abstract": "Formulas are derived to compute the mean number of times a site has been\nvisited during symmetric Levy flights. Unrestricted Levy flights are considered\nfirst, for lattices of any dimension: conditions for the existence of finite\nasymptotic maps of the visits over the lattice are analysed and a connection is\nmade with the transience of the flight. In particular it is shown that flights\non lattices of dimension greater than one are always transient. For an interval\nwith absorbing boundaries the mean number of visits reaches stationary values,\nwhich are computed by means of numerical and analytical methods; comparisons\nwith Monte Carlo simulations are also presented.",
    "arxiv_id": "physics/0605119",
    "authors": [
      "M. Ferraro",
      "L. Zaninetti"
    ],
    "categories": [
      "physics.data-an",
      "physics.gen-ph"
    ],
    "doi": "10.1103/PhysRevE.73.057102",
    "title": "Mean number of visits to sites in Levy flights",
    "url": "https://arxiv.org/abs/physics/0605119"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "fbabce52-4431-419a-a42e-f388605ed57f",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}