18 citations · 80 across the 24 of their papers we have counts for
32 papers
Finite index extensions of treeable equivalence relations are treeable
Ruiyuan Chen, Anush Tserunyan, Robin Tucker-Drob
We prove that every countable Borel equivalence relation containing a finite index Borel treeable subequivalence relation is Borel treeable. This answers a long-standing question o…
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 .
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 i…
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…
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)…
Existentially closed measure-preserving actions of approximately treeable groups
Isaac Goldbring, Brandon Seward, Robin Tucker-Drob
Given a countable group , letting denote the class of {\pmp} actions of , we study the question of when the model companion of exists. Berenst…