On Mealy-Moore coding and images of Markov measures Institutional Repository Document uri icon

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.

author list (cited authors)

  • Grigorchuk, R., Kogan, R., & Vorobets, Y.

complete list of authors

  • Grigorchuk, Rostislav||Kogan, Roman||Vorobets, Yaroslav

publication date

  • February 2021