Аннотация:
We study the images of the Markov measures under transformations generated by the Mealy automata. We find conditions under which the image measure is absolutely continuous or singular relative to the Markov measure. Also, we determine statistical properties of the image of a generic sequence.
Ключевые слова и фразы:Markov measure, Mealy automaton, Moore diagram, regular rooted tree endomorphism, activity growth, pushforward measure, asymptotic frequency.
Полный текст:
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