An intensity-expansion method to treat non-stationary time series: an application to the distance between prime numbers
arXiv:cond-mat/0307547 · doi:10.1016/S0960-0779(03)00434-X
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.
11 pages, 7 figures, in press on 'Chaos, Solitons & Fractals'