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math.DS2021
The spectral form of Koopman representations of the group of measurable functions with values in the circle
Justin Tatch Moore, Sławomir Solecki
We compute the spectral form of the Koopman representation induced by a natural boolean action of identified earlier by the authors. Our computation establish…
math.DS2021
Generic measure preserving transformations and the closed groups they generate
Sławomir Solecki
We show that, for a generic measure preserving transformation , the closed group generated by is not isomorphic to the topological group of all Lebesgu…