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Article Information:
Title:
Characterizing Cantorian sets by entropy-like quantities
Author(s):
Konstantinos Karamanos
Journal:
Year:
2009
Volume:
Issue:
Page:
1025 - 1032
ISSN:
0368-492X
DOI:
10.1108/03684920910973234
Publisher:
Emerald Group Publishing Limited
Acknowledgements:
The author is indebted to G. Nicolis for useful discussions and support. Financial support from NATO, the Van Buuren Foundation, and the Petsalys-Lepage Foundation are greatfully acknowledged. This work has been supported in part by the Poles d'Attraction Interuniversitaires Program of the Belgian Federal Office of Scientific, Technical and Cultural Affairs.
Document Access:
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:
Cybernetics, Dynamics, Set theory, Systems theory
Article Type:
Research paper