30 citations · 31 across the 2 of their papers we have counts for
2 papers
math.GR2014★ 1 cited
Self-similar groups, automatic sequences, and unitriangular representations
R. Grigorchuk, Y. Leonov, V. Nekrashevych +1
We study natural linear representations of self-similar groups over finite fields. In particular, we show that if the group is generated by a finite automaton, then obtained matric…
math.GR2004★ 30 cited
The smallest Mealy automaton of intermediate growth
Laurent Bartholdi, Illya I. Reznykov, Vitaly I. Sushchansky
In this paper we study the smallest Mealy automaton of intermediate growth, first considered by the last two authors. We describe the automatic transformation monoid it defines, gi…