An intensity-expansion method to treat non-stationary time series: an application to the distance between prime numbers

Details An intensity-expansion method to treat non-stationary time series: an application to the distance between prime numbers An intensity-expansion method to treat non-stationary time series: an application to the distance between prime numbers

2003-07-22

arxiv.org/abs/cond-mat/0307547v1

Physics

Condensed Matter

Statistical Mechanics

11 pages, 7 figures, in press on 'Chaos, Solitons & Fractals'

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

An intensity-expansion method to treat non-stationary time series: an application to the distance between prime numbers does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with An intensity-expansion method to treat non-stationary time series: an application to the distance between prime numbers, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and An intensity-expansion method to treat non-stationary time series: an application to the distance between prime numbers will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-236092