Andrew S. Marks

collaborators

4 papers

math.GR2026

Borel dimension growth and hyperfiniteness

Jan Grebík, Andrew S. Marks, Václav Rozhoň +1

We show that every increasing union of Borel graphs of pointwise volume growth at most $exp (O (r^{γ}))$ is hyperfinite, where $γ \approx 0.1523$ is the unique real root of $(1 - γ)^3…

math.GR2026

One-ended spanning subforests and treeability of groups

Clinton T. Conley, Damien Gaboriau, Andrew S. Marks +1

We show that several new classes of groups are measure strongly treeable. In particular, finitely generated groups admitting planar Cayley graphs, elementarily free groups, and the…

math.LO2026

On a question of Slaman and Steel

Adam Day, Andrew Marks

We consider an old question of Slaman and Steel: whether Turing equivalence is an increasing union of Borel equivalence relations none of which contain a uniformly computable infin…

math.LO2024

Hausdorff dimension and countable Borel equivalence relations

Andrew Marks, Dino Rossegger, Theodore Slaman

We show that if $E$ is a countable Borel equivalence relation on $R^{n}$ , then there is a closed subset $A \subset [0, 1]^{n}$ of Hausdorff dimension $n$ so that $E \restrictio…