Jérémie Brieussel

activity

20112026

most citedSpeed of random walks, isoperimetry and compression of finitely generated groups

17 citations · 41 across the 13 of their papers we have counts for

collaborators

Showing 2017Show all

3 papers · 1 filter

math.GR2017

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…

math.GR2017★ 4 cited

Shalom's property $H_{FD}$ and extensions by $Z$ of locally finite groups

Jérémie Brieussel, Tianyi Zheng

We show that every finitely generated extension by $Z$ of a locally normally finite group has Shalom's property $H_{FD}$ . This is no longer true without the norma…

math.GR2017★ 2 cited

Random walks on the discrete affine group

Jérémie Brieussel, Ryokichi Tanaka, Tianyi Zheng

We introduce the discrete affine group of a regular tree as a finitely generated subgroup of the affine group. We describe the Poisson boundary of random walks on it as a space of…

An automata group of intermediate growth and exponential activity

Shalom's property HFD​ and extensions by Z of locally finite groups

Random walks on the discrete affine group

Shalom's property $H_{FD}$ and extensions by $Z$ of locally finite groups