Notes on the Schreier graphs of the Grigorchuk group
  The paper is concerned with the space of the marked Schreier graphs of the Grigorchuk group and the action of the group on this space. In particular, we describe an invariant set of the Schreier graphs corresponding to the action on the boundary of the binary rooted tree and dynamics of the group action restricted to this invariant set. 
Yaroslav Vorobets
math.DS math.GR