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math.DS2025
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…
math.GR2025
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)…
math.LO2025
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…