{
  "id": "cond-mat/0307547",
  "version": "v1",
  "published": "2003-07-22T19:34:48.000Z",
  "updated": "2003-07-22T19:34:48.000Z",
  "title": "An intensity-expansion method to treat non-stationary time series: an application to the distance between prime numbers",
  "authors": [
    "Nicola Scafetta",
    "Timothy Imholt",
    "J. A. Roberts",
    "Bruce J. West"
  ],
  "comment": "11 pages, 7 figures, in press on 'Chaos, Solitons & Fractals'",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We study the fractal properties of the distances between consecutive primes. The distance sequence is found to be well described by a non-stationary exponential probability distribution. We propose an intensity-expansion method to treat this non-stationarity and we find that the statistics underlying the distance between consecutive primes is Gaussian and that, by transforming the distance sequence into a stationary one, the range of Gaussian randomness of the sequence increases.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-07-22T19:34:48.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "treat non-stationary time series",
      "intensity-expansion method",
      "prime numbers",
      "application",
      "distance sequence"
    ],
    "publication": {
      "doi": "10.1016/S0960-0779(03)00434-X",
      "journal": "Chaos Solitons and Fractals",
      "year": 2004,
      "month": "Apr",
      "volume": 20,
      "number": 1,
      "pages": 119
    },
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004CSF....20..119S"
    }
  }
}