We apply the DEA to the study of DNA sequences and prove that their large-time scales are characterized by Le´vy statistics, regardless of whether they are coding or noncoding sequences.

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Scafetta finding Levy sequence statistics in DNA rather than Gaussian is interesting.

I’m sure it is. English translation, anyone? What is the significance of Gaussian vs. Levy sequence statistics?

I read more research by Scaffetta from your links.

Not sure if you read this paper:
Le´vy scaling: The diffusion entropy analysis applied to DNA sequences

We address the problem of the statistical analysis of a time series generated by complex dynamics with the Diffusion Entropy Analysis(DEA). This method is based on the evaluation of the Shannon entropy of the diffusion process generated by the time series imagined as a physical source of fluctuations, rather than on the measurement of the variance of this diffusion process, as done with the traditional methods. We compare the DEA to the traditional methods of scaling detection and prove that the DEA is the only method that always yields the correct scaling value, if the scaling condition applies. Furthermore, DEA detects the real scaling of a time series without requiring any form of detrending. We show that the joint use of DEA and variance method allows to assess whether a time series is characterized by Le´vy or Gauss statistics. We apply the DEA to the study of DNA sequences and prove that their large-time scales are characterized by Le´vy statistics, regardless of whether they are coding or noncoding sequences. We show that the DEA is a reliable technique and, at the same time, we use it to confirm the validity of the dynamic approach to the DNA sequences, proposed in earlier work.

Central Limit Theorem

Long Tail Distributions

Levy Distribution

Stable Distribution