{
  "id": "math/0602207",
  "version": "v1",
  "published": "2006-02-10T09:29:09.000Z",
  "updated": "2006-02-10T09:29:09.000Z",
  "title": "Random series of functions and applications",
  "authors": [
    "Frédéric Paccaut",
    "Dominique Schneider"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "We study the continuity properties of trajectories for some random series of functions $\\sum a\\_kf(\\alpha X\\_k(\\omega))$ where $a\\_k$ is a complex sequence, $X\\_k$ a sequence of real independent random variables, $f$ is a real valued function with period one and summable Fourier coefficients. We obtain almost sure continuity results for these periodic or almost periodic series for a large class of functions, where the \"almost sure\" does not depend on the function.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-02-10T09:29:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60G15",
      "60G42",
      "60G50"
    ],
    "keywords": [
      "random series",
      "applications",
      "real independent random variables",
      "sure continuity results",
      "large class"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......2207P"
    }
  }
}