Kakutani equivalence for products of some special flows over rotations
ERGODIC THEORY AND DYNAMICAL SYSTEMS(2022)
Abstract
We study Kakutani equivalence for products of some special flows over rotations with roof function smooth except a singularity at 0 is an element of 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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Key words
Kakutani equivalence, Kakutani invariants, special flow
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