Information and self‐organization ‐ a new approach via self‐divergence of Markovian processes

Guy Jumarie (Department of Mathematics, University of Quebec at Montreal, Canada)

Kybernetes

ISSN: 0368-492X

Publication date: 1 April 1998

Abstract

In the information theoretic framework, it is customary to address the problem of defining and analyzing complexity and organization of systems either by using Shannon entropy, via Jaynes maximum entropy principle, or by means of the so‐called Kullback informational divergence which measures the informational distance between two probability distributions. In the present paper, it is shown that the so‐called self‐divergence of Markovian processes can be a useful complement in this approach. After a short background on entropy and organization, we recall the definition of divergence of Markovian processes, and then it is used to analyze organization and complexity. We arrive at a principle of maximum self‐divergence which characterizes systems with maximum organization.

Keywords

Citation

Jumarie, G. (1998), "Information and self‐organization ‐ a new approach via self‐divergence of Markovian processes", Kybernetes, Vol. 27 No. 3, pp. 314-331. https://doi.org/10.1108/03684929810209504

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MCB UP Ltd

Copyright © 1998, MCB UP Limited

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