Characterizing Cantorian sets by entropy‐like quantities
Abstract
Purpose
The purpose of this paper is to discuss the recognizability of Cantorian stochastic automata by generalized entropy‐like qualities.
Design/methodology/approach
The paper gives a necessary entropy condition, valid for all sequences on the alphabet {0, 1} read by lumping and generated by a Cantorian stochastic automaton.
Findings
The paper finds that, on this basis, once can determine that a given sequence is not generated by Cantorian stochastic automata and reconstruct the automaton when the sequence is generated by a Cantorian stochastic automaton.
Originality/value
This paper derives a new diagnostic for Cantorian stochastic automata, which could find a direct application to biology, where there is a recent claim that the coding regions of chromosomes form Cantor sets.
Keywords
Citation
Karamanos, K. (2009), "Characterizing Cantorian sets by entropy‐like quantities", Kybernetes, Vol. 38 No. 6, pp. 1025-1032. https://doi.org/10.1108/03684920910973234
Publisher
:Emerald Group Publishing Limited
Copyright © 2009, Emerald Group Publishing Limited