On a substitution subshift related to the Grigorchuk group
Ya. Vorobets · Proceedings of the Steklov Institute of Mathematics · 2010
We study the dynamics of a substitution subshift given by the substitution a → aca , b → d , c → b , d → c , which is related to the Grigorchuk group. This dynamical system is shown to be, up to a countable set, conjugate to the binary odometer.