Geodesic
On a~substitution subshift related to the Grigorchuk group
Informatics and Automation, Differential equations and topology. II, Tome 271 (2010), pp. 319-334.

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We study the dynamics of a substitution subshift given by the substitution $a\to aca$, $b\to d$, $c\to b$, $d\to c$, which is related to the Grigorchuk group. This dynamical system is shown to be, up to a countable set, conjugate to the binary odometer. 
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     title = {On a~substitution subshift related to the {Grigorchuk} group},
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Ya. Vorobets. On a~substitution subshift related to the Grigorchuk group. Informatics and Automation, Differential equations and topology. II, Tome 271 (2010), pp. 319-334. http://geodesic.mathdoc.fr/item/TRSPY_2010_271_a20/

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