2024/03/11 by Rostislav Grigorchuk, Ville Salo, Grigorchuk, Rostislav +1
Earth and Planetary Sciences · Physics and Astronomy · Engineering · #Geological Studies and Exploration #Fusion and Plasma Physics Studies #Geotechnical and Geomechanical Engineering
paper · pdf · doi:10.48550/arxiv.2403.06480
We study symbolic dynamical representations of actions of the first Grigorchuk group G, namely its action on the boundary of the infinite rooted binary tree, its representation in the topological full group of a minimal substitutive ℤ-shift, and its representation as a minimal system of Schreier graphs. We show that the first system admits an SFT cover, and the latter two systems are conjugate to sofic subshifts on G, but are not of finite type.