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math.LO2026
Measurable matchings in unbalanced graphs
Anton Bernshteyn, Matt Bowen, Felix Weilacher
Let be a locally finite multigraph that is bipartite and "unbalanced," meaning that it has a nontrivial bipartition with for all $x…
math.LO2022
The uniform Gardner conjecture and rounding Borel flows
Matthew Bowen, Gábor Kun, Marcin Sabok
We study groups which satisfy Gardner's equidecomposition conjecture for uniformly distributed sets. We prove that an amenable group has this property if and only if it does not ad…