Abstract
We study the standard (zero entropy loosely Bernoulli or loosely Kronecker) property for products of Kochergin smooth ows on T2 with one singularity. These ows can be represented as special ows over irrational rotations of the circle and under roof functions which are smooth on T2 \ {0} with a singularity at 0. We show that there exists a full measure set D ⊂ T such that the product system of two Kochergin flows with different powers of singularities and rotations from D is not standard.
Original language | English (US) |
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Pages (from-to) | 265-283 |
Number of pages | 19 |
Journal | Studia Mathematica |
Volume | 244 |
Issue number | 3 |
DOIs | |
State | Published - Jan 2019 |
All Science Journal Classification (ASJC) codes
- Mathematics(all)