Discrete Dynamics in Nature and Society
Volume 4 (2000), Issue 4, Pages 293-295

A comparative dynamical analysis of Hebrew texts

Abraham Boyarsky and Pawel Góra

Department of Mathematics and Statistics, Concordia University, 7141 Sherbrooke Street West, Montreal H4B 1R6, Quebec, Canada

Received 10 May 1999

Copyright © 2000 Abraham Boyarsky and Pawel Góra. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Three Hebrew texts, one of them the Hebrew bible, are investigated using dynamical analysis. First, the average mutual information for each of the texts is determined. The first minimum occurs at T=3 in all three cases, suggesting that 3-letter words are sufficient to study the dynamical properties of the texts. Using 3-letter words as the state space for each of the text, we construct a Markov chain model and compute the relative measure–theoretic entropy for each of the texts and use this tool as a means of comparing the information content of the three texts.