Kakutani equivalence for products of some special flows over rotations-Reference-Cited by-同舟云学术

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Kakutani equivalence for products of some special flows over rotations

Published:2021-01-28 Issue: Volume: Page:1-28
ISSN:0143-3857
Container-title:Ergodic Theory and Dynamical Systems
language:en
Short-container-title:Ergod. Th. Dynam. Sys.

Author:

WEI DAREN^ORCID

Abstract

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.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics,General Mathematics

Reference26 articles.

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3. Equivalence of measure preserving transformations

4. [KDe] Kanigowski, A. and De La Rue, T. . Product of two staircase rank one transformations that is not loosely Bernoulli. J. Anal. Math., to appear, arXiv:1812.08027.

5. Product of two Kochergin flows with different exponents is not standard

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