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math.GR2022
Amenable equivalence relations, Kesten's property, and measurable lamplighters
Maksym Chaudkhari, Kate Juschenko, Friedrich Martin Schneider
We prove a characterization of the amenability of countable Borel equivalence relations in terms of the uniform Liouville property for group actions on their classes. Furthermore,…
math.GR2018
Confined subgroups of Thompson's group and its embeddings into wobbling groups
Maksym Chaudkhari
We obtain a characterisation of confined subgroups of Thompson's group . As a result, we deduce that orbital graph of a point under action of has uniformly subexponential gr…