Spectral properties of a torsion-free weakly branch group defined by a three state automaton

By Rostislav I. Grigorchuk, Zuk Andrzej. 2002

56 citations recorded by the source corpus.

Subfields: Geometry and Topology, Mathematical Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/e28edf2471c8f2bd6df529e132e5949ef47a0fdf

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. Rostislav I. Grigorchuk
2. B'alint Vir'ag
3. Laurent Bartholdi
4. Volodymyr V. Nekrashevych
5. Zoran Sunic
6. Miklós Abért
7. A. Erschler
8. Ievgen V. Bondarenko

In Mathematical Physics

1. Rostislav I. Grigorchuk
2. Laurent Bartholdi
3. B'alint Vir'ag
4. Volodymyr V. Nekrashevych
5. Zoran Sunic
6. A. Erschler
7. Yaroslav Vorobets
8. L. Erdős

In Statistical and Nonlinear Physics

1. B'alint Vir'ag
2. Rostislav I. Grigorchuk

Citations in the corpus

• Some topics in the dynamics of group actions on rooted trees (2011, background): “They are related to substitution dynamical systems (which arise when finding presentations of groups by generators and relations) [129, 97, 14].”
• Amenability via random walks (2003, background): “It was first studied by Grigorchuk and Żuk (2002a), who showed that G does not belong to the class SG.”