5 citations · 9 across the 2 of their papers we have counts for
4 papers
Numerical upper bounds on growth of automata groups
Jérémie Brieussel, Thibault Godin, Bijan Mohammadi
The growth of a finitely generated group is an important geometric invariant which has been studied for decades. It can be either polynomial, for a well-understood class of groups,…
An automata group of intermediate growth and exponential activity
Jérémie Brieussel
We give a new example of an automata group of intermediate growth. It is generated by an automaton with 4 states on an alphabet with 8 letters. This automata group has exponential…
Shalom's property and extensions by of locally finite groups
Jérémie Brieussel, Tianyi Zheng
We show that every finitely generated extension by of a locally normally finite group has Shalom's property . This is no longer true without the norma…
About the speed of random walks on solvable groups
Jérémie Brieussel
We show that for each , there exists a solvable group and a finitely supported measure such that the associated random walk has upper speed exponent .