{
  "id": "math/0407411",
  "version": "v2",
  "published": "2004-07-23T20:10:25.000Z",
  "updated": "2005-10-05T15:28:44.000Z",
  "title": "Limit theorems for rarefaction of set of diffusion processes by boundaries",
  "authors": [
    "Anielllo Fedullo",
    "Vitalii A. Gasanenko"
  ],
  "comment": "11 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "This paper is devoted to the study of the following problem. We have set of diffusion processes with absorption on boundaries in some region at initial time $t=0$. It is required to estimate of number of the unabsorbed processes for the fixed time ~$\\tau>0$. The number of initial processes is considered as function of $\\tau$ and $\\tau\\to\\infty$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2005-10-05T15:28:44.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "diffusion processes",
      "limit theorems",
      "boundaries",
      "rarefaction",
      "initial time"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......7411F"
    }
  }
}