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math.DS2020★ 1 cited
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…
math.DS2017★ 18 cited
Folner tilings for actions of amenable groups
Clinton T. Conley, Steve Jackson, David Kerr +3
We show that every probability-measure-preserving action of a countable amenable group G can be tiled, modulo a null set, using finitely many finite subsets of G ("shapes") with pr…