Clinton T. Conley

activity

20162024

most citedFolner tilings for actions of amenable groups

18 citations · 59 across the 14 of their papers we have counts for

collaborators

Showing 2020Show all

5 papers · 1 filter

math.MG2020★ 2 cited

Divisibility of Spheres with Measurable Pieces

Clinton T. Conley, Jan Grebík, Oleg Pikhurko

For an $r$ -tuple $(γ_{1}, \dots, γ_{r})$ of special orthogonal $d \times d$ matrices, we say that the Euclidean $(d - 1)$ -dimensional sphere $S^{d - 1}$ is $(γ_{1}, \dots, γ_{r})$ -divisible if th…

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.LO2020★ 8 cited

Measure reducibility of countable Borel equivalence relations

Clinton T. Conley, Benjamin D. Miller

We show that every basis for the countable Borel equivalence relations strictly above $E_{0}$ under measure reducibility is uncountable, thereby ruling out natural generaliz…

math.LO2020★ 3 cited

Measurable perfect matchings for acyclic locally countable Borel graphs

Clinton T. Conley, Benjamin D. Miller

We characterize the structural impediments to the existence of Borel perfect matchings for acyclic locally countable Borel graphs admitting a Borel selection of finitely many ends…

math.LO2020★ 1 cited

Incomparable actions of free groups

Clinton T. Conley, Benjamin D. Miller

Suppose that $X$ is a Polish space, $E$ is a countable Borel equivalence relation on $X$ , and $μ$ is an $E$ -invariant Borel probability measure on $X$ . We consider the circumstance…