Daren Wei
Published 2019-09-10Version 1
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.
Spectral disjointness of rescalings of some special flows
Escape rates for special flows and their higher order asymptotics
Ratner's property for special flows over irrational rotations under functions of bounded variation
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