10 citations · 57 across the 21 of their papers we have counts for
25 papers
Open questions in descriptive set theory and dynamical systems
Jérôme Buzzi, Nishant Chandgotia, Matthew Foreman +6
This file is composed of questions that emerged or were of interest during the workshop "Interactions between Descriptive Set Theory and Smooth Dynamics" that took place in Banff,…
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…
Monochromatic products and sums in the rationals
Matt Bowen, Marcin Sabok
We show that for every coloring of the rationals into finitely many colors, one of the colors contains a set of the form for some nonzero and .
Perfect matchings in hyperfinite graphings
Matthew Bowen, Gabor Kun, Marcin Sabok
We characterize hyperfinite bipartite graphings that admit measurable perfect matchings. In particular, we prove that every regular hyperfinite bipartite graphing admits a measurab…
Probabilistic Programming Semantics for Name Generation
Marcin Sabok, Sam Staton, Dario Stein +1
We make a formal analogy between random sampling and fresh name generation. We show that quasi-Borel spaces, a model for probabilistic programming, can soundly interpret Stark's $ν…
Unicorn paths and hyperfiniteness for the mapping class group
Piotr Przytycki, Marcin Sabok
Let S be an orientable surface of finite type. Using Pho-On's infinite unicorn paths, we prove the hyperfiniteness of orbit equivalence relations induced by the actions of the mapp…