Notes on the Schreier graphs of the Grigorchuk group

By Yaroslav Vorobets. 2011

50 citations recorded by the source corpus.

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.

Subfields: Computational Theory and Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/83557c0b3e69aeb1daa39233feb026ba463b2446

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In Computational Theory and Mathematics

1. Volodymyr V. Nekrashevych
2. Rostislav I. Grigorchuk
3. Miklós Abért
4. Zoran Sunic
5. B'alint Vir'ag

In Mathematical Physics

1. Rostislav I. Grigorchuk
2. Volodymyr V. Nekrashevych
3. Yaroslav Vorobets
4. Enrique Pardo
5. R. Exel
6. Zoran Sunic
7. Laurent Bartholdi
8. A. Erschler

Citations in the corpus

• Palindromic subshifts and simple periodic groups of intermediate growth (2016, background): “t possible to generalize periodicity of the Grigorchuk group to a very wide class of groups of dynamical origin. Orbital graphs of the Grigorchuk groups were studied in great detail by Y. Vorobets in [19]; a large part of our construction is based on his results. 2. Preliminariesongroup actions 2.1.”
• Some topics in the dynamics of group actions on rooted trees (2011, methodology): “A complete proof, involving new ideas and techniques compared with the lemmas formulated in [7], was published by M. Vorobets and Ya.”