Combinatorics of the subshift associated with Grigorchuk’s group


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We study combinatorial properties of the subshift induced by the substitution that describes Lysenok’s presentation of Grigorchuk’s group of intermediate growth by generators and relators. This subshift has recently appeared in two different contexts: on the one hand, it allowed embedding Grigorchuk’s group in a topological full group, and on the other hand, it was useful in the spectral theory of Laplacians on the associated Schreier graphs.

作者简介

Rostislav Grigorchuk

Department of Mathematics; Steklov Mathematical Institute of Russian Academy of Sciences

编辑信件的主要联系方式.
Email: grigorch@math.tamu.edu
美国, College Station, TX, 77843-3368; ul. Gubkina 8, Moscow, 119991

Daniel Lenz

Institut für Mathematik

Email: grigorch@math.tamu.edu
德国, Jena, 07743

Tatiana Nagnibeda

Section de Mathématiques

Email: grigorch@math.tamu.edu
瑞士, 2-4 rue du Lièvre, Case postale 64, Geneva 4, 1211

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