{
  "id": "1502.06139",
  "version": "v1",
  "published": "2015-02-21T19:50:04.000Z",
  "updated": "2015-02-21T19:50:04.000Z",
  "title": "Heat content for stable processes in domains of $\\R^d$",
  "authors": [
    "Luis Acuna Valverde"
  ],
  "categories": [
    "math.PR",
    "math.FA",
    "math.SP"
  ],
  "abstract": "This paper studies the small time behavior of the heat content of rotationally invariant $\\alpha$--stable processes, $0<\\alpha \\leq 2$, in domains in $\\R^d$. Unlike the asymptotics for the heat trace, the behavior of the heat content differs depending on the ranges $0<\\alpha<1$, $\\alpha=1$ and $1<\\alpha\\leq 2$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-02-21T19:50:04.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "stable processes",
      "small time behavior",
      "heat trace",
      "paper studies",
      "heat content differs depending"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150206139A"
    }
  }
}