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math.DS2025
Quantitative orbit equivalence for -odometers
Petr Naryshkin, Spyridon Petrakos
We prove that any two -odometers are sub--orbit equivalent, greatly strengthening previous results and giving a definitive picture of quantitative orbit equivalenc…
math.LO2025
Hyper-u-amenablity and Hyperfiniteness of Treeable Equivalence Relations
Petr Naryshkin, Andrea Vaccaro
We introduce the notions of u-amenability and hyper-u-amenability for countable Borel equivalence relations, strong forms of amenability that are implied by hyperfiniteness. We sho…