81 citations · 433 across the 50 of their papers we have counts for
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On the space of left-orderings of virtually solvable groups
Cristóbal Rivas, Romain Tessera
We show that the space of left-orderings of a countable virtually solvable group is either finite or homeomorphic to a Cantor set. We also provide an explicit description of the sp…
On the scaling limit of finite vertex transitive graphs with large diameter
Itai Benjamini, Hilary Finucane, Romain Tessera
Let be an unbounded sequence of finite, connected, vertex transitive graphs such that for some . We show that up to taking a subsequence, an…
Dehn function and asymptotic cones of Abels' group
Yves Cornulier, Romain Tessera
We prove that Abels' group over an arbitrary nondiscrete locally compact field has a quadratic Dehn function. As applications, we exhibit connected Lie groups and polycyclic groups…
Amenable hyperbolic groups
Pierre-Emmanuel Caprace, Yves de Cornulier, Nicolas Monod +1
We give a complete characterization of the locally compact groups that are non-elementary Gromov-hyperbolic and amenable. They coincide with the class of mapping tori of discrete o…