✦ LIBER ✦
An intensity-expansion method to treat non-stationary time series: an application to the distance between prime numbers
✍ Scribed by N. Scafetta; T. Imholt; J.A. Roberts; B.J. West
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 159 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0960-0779
No coin nor oath required. For personal study only.
✦ Synopsis
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.