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arXiv · 1909.04297

Kakutani equivalence for products of some special flows over rotations

Daren Wei
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Abstract

We study Kakutani equivalence for products of some special flows over rotations with roof function smooth except a singularity at $0\in\mathbb{T}$. We estimate the Kakutani invariant for product of these flows with different powers of singularities and rotations from a full measure set. As a corollary, we obtain a countable family of pairwise non-Kakutani equivalent products of special flows over rotations.

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Daren Wei. 2019-09-10. Kakutani equivalence for products of some special flows over rotations. https://doi.org/10.1017/etds.2020.140

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