{
  "id": "0805.1773",
  "version": "v1",
  "published": "2008-05-13T03:36:07.000Z",
  "updated": "2008-05-13T03:36:07.000Z",
  "title": "Log-Level Comparison Principle for Small Ball Probabilities",
  "authors": [
    "A. I. Nazarov"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "We prove a new variant of comparison principle for logarithmic $L_2$-small ball probabilities of Gaussian processes. As an application, we obtain logarithmic small ball asymptotics for some well-known processes with smooth covariances.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-05-13T03:36:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60G15",
      "60G60",
      "47A80"
    ],
    "keywords": [
      "small ball probabilities",
      "log-level comparison principle",
      "logarithmic small ball asymptotics",
      "smooth covariances",
      "gaussian processes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0805.1773N"
    }
  }
}