140 citations · 1.3k across the 89 of their papers we have counts for
3 papers · 2 filters
Automata, Groups, Limit Spaces, and Tilings
Laurent Bartholdi, Andre G. Henriques, Volodymyr V. Nekrashevych
We explore the connections between automata, groups, limit spaces of self-similar actions, and tilings. In particular, we show how a group acting ``nicely'' on a tree gives rise to…
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…
Spectral computations on lamplighter groups and Diestel-Leader graphs
Laurent Bartholdi, Wolfgang Woess
The Diestel-Leader graph DL(q,r) is the horocyclic product of the homogeneous trees with respective degrees q+1 and r+1. When q=r, it is the Cayley graph of the lamplighter group (…