Dynamic entropies, long-range correlations, and fluctuations in complex linear structures

  title={Dynamic entropies, long-range correlations, and fluctuations in complex linear structures},
  author={Werner Ebeling and Alexander Neiman and Thorsten P{\"o}schel},
We investigate symbolic sequences and in particular information carriers as e.g. books and DNA–strings. First the higher order Shannon entropies are calculated, a characteristic root law is detected. Then the algorithmic entropy is estimated by using Lempel–Ziv compression algorithms. In the third section the correlation function for distant letters, the low frequency Fourier spectrum and the characteristic scaling exponents are calculated. We show that all these measures are able to detect… CONTINUE READING


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