3 citations · 3 across the 4 of their papers we have counts for
8 papers
Vanishing of -Betti numbers for inner amenable groups
Robin Tucker-Drob
We prove that every countable inner amenable group has vanishing -Betti numbers in all degrees. This was previously open in every degree .
A continuum of non-measure equivalent groups
Adrian Ioana, Robin Tucker-Drob
We construct a continuum sized family of pairwise non-measure equivalent countable groups which have property (T) (hence are finitely generated)…
Obstructions to coarse universality for finitely generated groups
Robin Tucker-Drob
We prove that, for every bounded-degree graph admitting a finitely cobounded coarse quasi-action by a group, there is a finitely generated group which does not coarsely embed…
One-ended spanning subforests and treeability of groups
Clinton T. Conley, Damien Gaboriau, Andrew S. Marks +1
We show that several new classes of groups are measure strongly treeable. In particular, finitely generated groups admitting planar Cayley graphs, elementarily free groups, and the…
The Radon--Nikodym topography of acyclic measured graphs
Anush Tserunyan, Robin Tucker-Drob
We study locally countable acyclic measure-class-preserving (mcp) Borel graphs by analyzing their "topography" -- the interaction between the geometry and the associated Radon--Nik…
Asymptotic dynamics on amenable groups and van der Corput sets
Sohail Farhangi, Robin Tucker-Drob
We answer a question of Bergelson and Lesigne by showing that the notion of van der Corput set does not depend on the Følner sequence used to define it. This result has been disco…