An intensity-expansion method to treat non-stationary time series: An application to the distance between prime numbers
Publication
, Journal Article
Scafetta, N; Imholt, T; Roberts, JA; West, BJ
Published in: Chaos, Solitons and Fractals
January 1, 2004
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. © 2003 Elsevier Ltd. All rights reserved.
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Published In
Chaos, Solitons and Fractals
DOI
ISSN
0960-0779
Publication Date
January 1, 2004
Volume
20
Issue
1
Start / End Page
119 / 125
Related Subject Headings
- Mathematical Physics
- 49 Mathematical sciences
- 46 Information and computing sciences
- 40 Engineering
- 09 Engineering
- 08 Information and Computing Sciences
- 01 Mathematical Sciences
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Scafetta, N., Imholt, T., Roberts, J. A., & West, B. J. (2004). An intensity-expansion method to treat non-stationary time series: An application to the distance between prime numbers. Chaos, Solitons and Fractals, 20(1), 119–125. https://doi.org/10.1016/S0960-0779(03)00434-X
Scafetta, N., T. Imholt, J. A. Roberts, and B. J. West. “An intensity-expansion method to treat non-stationary time series: An application to the distance between prime numbers.” Chaos, Solitons and Fractals 20, no. 1 (January 1, 2004): 119–25. https://doi.org/10.1016/S0960-0779(03)00434-X.
Scafetta N, Imholt T, Roberts JA, West BJ. An intensity-expansion method to treat non-stationary time series: An application to the distance between prime numbers. Chaos, Solitons and Fractals. 2004 Jan 1;20(1):119–25.
Scafetta, N., et al. “An intensity-expansion method to treat non-stationary time series: An application to the distance between prime numbers.” Chaos, Solitons and Fractals, vol. 20, no. 1, Jan. 2004, pp. 119–25. Scopus, doi:10.1016/S0960-0779(03)00434-X.
Scafetta N, Imholt T, Roberts JA, West BJ. An intensity-expansion method to treat non-stationary time series: An application to the distance between prime numbers. Chaos, Solitons and Fractals. 2004 Jan 1;20(1):119–125.
Published In
Chaos, Solitons and Fractals
DOI
ISSN
0960-0779
Publication Date
January 1, 2004
Volume
20
Issue
1
Start / End Page
119 / 125
Related Subject Headings
- Mathematical Physics
- 49 Mathematical sciences
- 46 Information and computing sciences
- 40 Engineering
- 09 Engineering
- 08 Information and Computing Sciences
- 01 Mathematical Sciences