{
  "id": "0712.2401",
  "version": "v1",
  "published": "2007-12-14T17:35:01.000Z",
  "updated": "2007-12-14T17:35:01.000Z",
  "title": "Large Deviations for Riesz Potentials of Additive Processes",
  "authors": [
    "R. Bass",
    "X. Chen",
    "J. Rosen"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "We study functionals of the form \\[\\zeta_{t}=\\int_0^{t}...\\int_0^{t} | X_1(s_1)+...+ X_p(s_p)|^{-\\sigma}ds_1... ds_p\\] where $X_1(t),..., X_p(t)$ are i.i.d. $d$-dimensional symmetric stable processes of index $0<\\bb\\le 2$. We obtain results about the large deviations and laws of the iterated logarithm for $\\zeta_{t}$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-12-14T17:35:01.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "large deviations",
      "riesz potentials",
      "additive processes",
      "dimensional symmetric stable processes",
      "study functionals"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0712.2401B"
    }
  }
}