{
  "id": "1410.1598",
  "version": "v1",
  "published": "2014-10-07T01:19:19.000Z",
  "updated": "2014-10-07T01:19:19.000Z",
  "title": "Functional central limit theorems for supercritical superprocesses",
  "authors": [
    "Yan-Xia Ren",
    "Renming Song",
    "Rui Zhang"
  ],
  "comment": "arXiv admin note: text overlap with arXiv:1310.5410",
  "categories": [
    "math.PR"
  ],
  "abstract": "In this paper, we establish some functional central limit theorems for a large class of general supercritical superprocesses with spatially dependent branching mechanisms satisfying a second moment condition. In the particular case when the state $E$ is a finite set and the underline motion is an irreducible Markov chain on $E$, our results are superprocess analogs of the functional central limit theorems of \\cite{Janson} for supercritical multitype branching processes. The results of this paper are refinements of the central limit theorems in \\cite{RSZ3}.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-10-07T01:19:19.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "functional central limit theorems",
      "dependent branching mechanisms satisfying",
      "second moment condition",
      "general supercritical superprocesses",
      "spatially dependent branching mechanisms"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1410.1598R"
    }
  }
}