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The purpose of this paper is to discuss the recognizability of Cantorian stochastic automata by generalized entropy‐like qualities.
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.
Details