Poincaré recurrences of DNA sequences.

  title={Poincar{\'e} recurrences of DNA sequences.},
  author={Klaus M. Frahm and Dima L Shepelyansky},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  volume={85 1 Pt 2},
We analyze the statistical properties of Poincaré recurrences of Homo sapiens, mammalian, and other DNA sequences taken from the Ensembl Genome data base with up to 15 billion base pairs. We show that the probability of Poincaré recurrences decays in an algebraic way with the Poincaré exponent β≈4 even if the oscillatory dependence is well pronounced. The correlations between recurrences decay with an exponent ν≈0.6 that leads to an anomalous superdiffusive walk. However, for Homo sapiens… CONTINUE READING