{
  "id": "1211.2344",
  "version": "v1",
  "published": "2012-11-10T19:32:45.000Z",
  "updated": "2012-11-10T19:32:45.000Z",
  "title": "Comparison theorems for the small ball probabilities of Gaussian processes in weighted $L_2$-norms",
  "authors": [
    "Alexander I. Nazarov",
    "Ruslan S. Pusev"
  ],
  "comment": "10 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "We prove comparison theorems for small ball probabilities of the Green Gaussian processes in weighted $L_2$-norms. We find the sharp small ball asymptotics for many classical processes under quite general assumptions on the weight.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-11-10T19:32:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60G15"
    ],
    "keywords": [
      "small ball probabilities",
      "comparison theorems",
      "sharp small ball asymptotics",
      "green gaussian processes",
      "quite general assumptions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1211.2344N"
    }
  }
}