Journal of Theoretical & Computational Science
Open Access

Abstract

Comparative Study of Complexity, Entropy and Correlations of Natural Written Texts Produced by Human Brain and DNA Texts that Create Human Being

Melnik SS and Usatenko OV

Every sample of a DNA sequence, despite being created in the process of evolution, can be mathematically considered as an example selected from an ensemble of realizations of a random discrete process with complex statistical structure. This point of view allow us, digressing from biological properties of DNAs, to explore their statistical characteristics with the help of standard mathematical methods: calculate their correlators, the moments of different order, the entropy, etc. For better clearness one can compare the calculated characteristics with other similar random correlated sequences. Here we compare the complexity (expressed in terms of the correlation and entropy) of DNAs and literary texts, keeping in mind the nearly philosophical question: what is, from the mathematical point of view, more complex organized object.