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Kakutani equivalence for products of some special flows over rotations
Published online by Cambridge University Press: 28 January 2021
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 products 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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- © The Author(s), 2021. Published by Cambridge University Press
Footnotes
To the memory of my dearest teacher Prof. Anatole Katok whose careful guidance and warm advice will always stay in my heart.