Product of two Kochergin ows with different exponents is not standard

Adam Kanigowski, Daren Wei

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

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 languageEnglish (US)
Pages (from-to)265-283
Number of pages19
JournalStudia Mathematica
Volume244
Issue number3
DOIs
StatePublished - Jan 2019

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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