2 citations · 2 across the 1 of their papers we have counts for
3 papers
math.GR2018
Divergence and quasi-isometry classes of random Gromov's monsters
Dominik Gruber, Alessandro Sisto
We show that Gromov's monsters arising from i.i.d. random labellings of expanders (that we call random Gromov's monsters) have linear divergence along a subsequence, so that in par…
math.FA2018
Asymptotics of Cheeger constants and unitarisability of groups
Maria Gerasimova, Dominik Gruber, Nicolas Monod +1
Given a group , we establish a connection between the unitarisability of its uniformly bounded representations and the asymptotic behaviour of the isoperimetric constants of Cay…
math.GR2017★ 2 cited
Gromov's random monsters do not act non-elementarily on hyperbolic spaces
Dominik Gruber, Alessandro Sisto, Romain Tessera
We show that Gromov's monster groups arising from i.i.d. labelings of expander graphs do not admit non-elementary actions on geodesic hyperbolic spaces. The proof relies on compari…