{
  "id": "1409.3112",
  "version": "v1",
  "published": "2014-09-10T15:28:19.000Z",
  "updated": "2014-09-10T15:28:19.000Z",
  "title": "On $ h $-transforms of one-dimensional diffusions stopped upon hitting zero",
  "authors": [
    "Kouji Yano",
    "Yuko Yano"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "For a one-dimensional diffusion on an interval for which 0 is the regular-reflecting left boundary, three kinds of conditionings to avoid zero are studied. The limit processes are $ h $-transforms of the process stopped upon hitting zero, where $ h $'s are the ground state, the scale function, and the renormalized zero-resolvent. Several properties of the $ h $-transforms are investigated.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-09-10T15:28:19.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "one-dimensional diffusions",
      "hitting zero",
      "transforms",
      "regular-reflecting left boundary",
      "avoid zero"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1409.3112Y"
    }
  }
}