Clinton T. Conley

activity

20182024

most citedMeasure reducibility of countable Borel equivalence relations

8 citations · 12 across the 4 of their papers we have counts for

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7 papers · 1 filter

math.LO2024

Measurable Regular Subgraphs

Matt Bowen, Clinton T. Conley, Felix Weilacher

We show that every $d$ -regular bipartite Borel graph admits a Baire measurable $k$ -regular spanning subgraph if and only if $d$ is odd or $k$ is even. This gives the first example…

math.LO2024

Quasi-invariant measures concentrating on countable structures

Clinton Conley, Colin Jahel, Aristotelis Panagiotopoulos

Countable $L$ -structures $N$ whose isomorphism class supports a permutation invariant probability measure in the logic action have been characterized by Ackerma…

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…

math.LO2019

Measurable realizations of abstract systems of congruences

Clinton T. Conley, Andrew S. Marks, Spencer T. Unger

An abstract system of congruences describes a way of partitioning a space into finitely many pieces satisfying certain congruence relations. Examples of abstract systems of congrue…