Hyperbolic statistics and entropy loss in the description of gene distributions

2014/01/18 by K. Lukierska-Walasek, K. Lukierska‐Walasek, Lukierska-Walasek, K. +6 · 1 citation
Biochemistry, Genetics and Molecular Biology · Physics and Astronomy · #Biological Physics (physics.bio-ph) #Data Analysis #FOS: Biological sciences #FOS: Physical sciences #Fractal and DNA sequence analysis #Machine Learning in Bioinformatics #Quantitative Methods (q-bio.QM) #Statistics and Probability (physics.data-an) #physics.bio-ph #physics.data-an #q-bio.QM

paper · pdf · doi:10.48550/arxiv.1401.4561

3 pages, 3 figures, improved presentation of figures and conclusions somewhat changed

openalex publication_date 2014/01/18 · arxiv created 2014/03/28 · arxiv updated 2014/03/31 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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.

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