2 papers
math.DS2021
On Mealy-Moore coding and images of Markov measures
Rostislav Grigorchuk, Roman Kogan, Yaroslav Vorobets
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 singu…
math.GR2006
Asymptotic aspects of Schreier graphs and Hanoi Towers groups
Rostislav Grigorchuk, Zoran Sunik
We present relations between growth, growth of diameters and the rate of vanishing of the spectral gap in Schreier graphs of automaton groups. In particular, we introduce a series…