129 citations · 401 across the 50 of their papers we have counts for
5 papers · 2 filters
Schreier graphs of Grigorchuk's group and a subshift associated to a non-primitive substitution
Rostislav Grigorchuk, Daniel Lenz, Tatiana Nagnibeda
There is a recently discovered connection between the spectral theory of Schrö-dinger operators whose potentials exhibit aperiodic order and that of Laplacians associated with acti…
Presentations of Topological Full Groups by Generators and Relations
Rostislav Grigorchuk, Konstantin Medynets
We describe generators and defining relations for the commutator subgroup of topological full groups of minimal subshifts. We show that the word problem in a topological full group…
From self-similar groups to self-similar sets and spectra
Rostislav Grigorchuk, Volodymyr Nekrashevych, Zoran Sunic
The survey presents developments in the theory of self-similar groups leading to applications to the study of fractal sets and graphs, and their associated spectra.
Uncountably many -generated just-infinite branch pro- groups
Mustafa Gökhan Benli, Rostislav Grigorchuk
The aim of this note is to prove that there are non-isomoprhic 2-generated just-infinite branch pro- groups.
Universal groups of intermediate growth and their invariant random subgroups
Mustafa Gokhan Benli, Rostislav Grigorchuk, Tatiana Nagnibeda
We exhibit examples of groups of intermediate growth with ergodic, continuous, invariant random subgroups. The examples are the universal groups associated with a fa…