Hyperbolic statistics and entropy loss in the description of gene distributions

Abstract

Zipf's law implies the statistical distributions of hyperbolic type, which can describe the properties of stability and entropy loss in linguistics. We present the information theory from which follows that if the system is described by distributions of hyperbolic type it leads to the possibility of entropy loss. We present the number of repetitions of genes in tne genomes for some bacteria, as Borelia burgdorferi and Escherichia coli. Distributions of repetitions of genes in genome appears to be represented by distributions of hyperbolic type.