{
  "id": "math/0511053",
  "version": "v1",
  "published": "2005-11-02T16:29:28.000Z",
  "updated": "2005-11-02T16:29:28.000Z",
  "title": "Almost sure asymptotics for a diffusion process in a drifted Brownian potential",
  "authors": [
    "Alexis Devulder"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "We study a one-dimensional diffusion process in a drifted Brownian potential. We characterize the upper functions of its hitting times in the sense of Paul L\\'evy, and determine the lower limits in terms of an iterated logarithm law.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-11-02T16:29:28.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60K37",
      "60J60",
      "60F15"
    ],
    "keywords": [
      "drifted brownian potential",
      "sure asymptotics",
      "one-dimensional diffusion process",
      "iterated logarithm law",
      "upper functions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math.....11053D"
    }
  }
}