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arXiv · 1704.03709

Generic properties of extensions

Mike Schnurr
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Abstract

Motivated by the classical results by Halmos and Rokhlin on the genericity of weakly but not strongly mixing transformations and the Furstenberg tower construction, we show that weakly but not strongly mixing extensions on a fixed product space with both measures non-atomic are generic. In particular, a generic extension does not have an intermediate nilfactor.

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Mike Schnurr. 2017-10-22. Generic properties of extensions. https://doi.org/10.1017/etds.2017.145

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