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Multifractal information production of the human genome

We determine the Renyi entropies K_q of symbol sequences generated by human chromosomes. These exhibit nontrivial behaviour as a function of the scanning parameter q. In the thermodynamic formalism, there are phase transition-like phenomena close to the q=1 region. We develop a theoretical model for this based on the superposition of two multifractal sets, which can be associated with the different statistical properties of coding and non-coding DNA sequences. This model is in good agreement with the human chromosome data.

preprint2010arXivOpen access
Christian BeckAstero Provata
cond-mat.stat-mechGenomicsBiological Physicsnlin.CD
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Christian BeckAstero Provata

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