On Mealy-Moore coding and images of Markov measures

Published 10 Feb 2021 in math.DS | (2102.05539v1)

Abstract: 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.

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