{
  "id": "math/0701914",
  "version": "v1",
  "published": "2007-01-31T10:06:36.000Z",
  "updated": "2007-01-31T10:06:36.000Z",
  "title": "Local limit theorems for ladder epochs",
  "authors": [
    "Vladimir Vatutin",
    "Vitali Wachtel"
  ],
  "comment": "21 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "Let {S_n, n=0,1,2,...} be a random walk generated by a sequence of i.i.d. random variables X_1, X_2,... and let tau be the first descending ladder epoch. Assuming that the distribution of X_1 belongs to the domain of attraction of an alpha-stable law, we study the asymptotic behavior of P(tau=n).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-01-31T10:06:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60G50"
    ],
    "keywords": [
      "local limit theorems",
      "first descending ladder epoch",
      "random variables",
      "random walk",
      "asymptotic behavior"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007math......1914V"
    }
  }
}