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Spectrum of the basilica group and the associated real and complex 2D dynamics
Eric Bedford, Rostislav Grigorchuk, Nguyen-Bac Dang +1
In this paper, we study the iteration over the real and complex loci of a specific rational map, found by Grigorchuk and Zuk. This two dimensional map arises as the renormalization…
SFT covers for actions of the first Grigorchuk group
Rostislav Grigorchuk, Ville Salo
We study symbolic dynamical representations of actions of the first Grigorchuk group , namely its action on the boundary of the infinite rooted binary tree, its representation i…
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…