18 citations · 80 across the 24 of their papers we have counts for
12 papers · 1 filter
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 discov…
Cost of inner amenable groupoids
Robin Tucker-Drob, Konrad Wróbel
Kida and Tucker-Drob recently extended the notion of inner amenability from countable groups to discrete p.m.p. groupoids. In this article, we show that inner amenable groupoids ha…
Borel asymptotic dimension and hyperfinite equivalence relations
Clinton Conley, Steve Jackson, Andrew Marks +2
A long standing open problem in the theory of hyperfinite equivalence relations asks if the orbit equivalence relation generated by a Borel action of a countable amenable group is…
Superrigidity, measure equivalence, and weak Pinsker entropy
Lewis Bowen, Robin Tucker-Drob
We show that the class , of discrete groups which satisfy the conclusion of Popa's Cocycle Superrigidity Theorem for Bernoulli actions, is invariant under measure equi…
The space of stable weak equivalence classes of measure-preserving actions
Lewis Bowen, Robin Tucker-Drob
The concept of (stable) weak containment for measure-preserving actions of a countable group is analogous to the classical notion of (stable) weak containment of unitary repres…