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Kakutani equivalence for products of some special flows over rotations

Dynamical Systems 2023-06-22 v2

Abstract

We study Kakutani equivalence for products of some special flows over rotations with roof function smooth except a singularity at 0T0\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.

Keywords

Cite

@article{arxiv.1909.04297,
  title  = {Kakutani equivalence for products of some special flows over rotations},
  author = {Daren Wei},
  journal= {arXiv preprint arXiv:1909.04297},
  year   = {2023}
}

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27 pages