{
  "id": "1909.06290",
  "version": "v1",
  "published": "2019-09-13T15:25:27.000Z",
  "updated": "2019-09-13T15:25:27.000Z",
  "title": "A density for the local time of the Brox diffusion",
  "authors": [
    "Jonathan Gutierrez-Pavón",
    "Carlos G. Pacheco"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "We give explictly the probability density of the local time of the Brox diffusion at first passage times. Such formula is used to find the moments and to related the minima and maxima of the environment to the most and least visted points of the diffusion.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-09-13T15:25:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60G07"
    ],
    "keywords": [
      "local time",
      "brox diffusion",
      "first passage times",
      "probability density",
      "environment"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}