46 citations · 150 across the 22 of their papers we have counts for
4 papers · 1 filter
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…
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…
Weakly maximal subgroups in regular branch groups
Khalid Bou-Rabee, Paul-Henry Leemann, Tatiana Nagnibeda
Let be a finitely generated regular branch group acting by automorphisms on a regular rooted tree . It is well-known that stabilizers of infinite rays in (aka parabolic…
Lamplighter groups, de Bruijn graphs, spider-web graphs and their spectra
Rostislav Grigorchuk, Paul-Henry Leemann, Tatiana Nagnibeda
We describe the infinite family of spider-web graphs , , and , studied in physical literature as tensor products of well-known de Brujin…