The zero-type property and mixing of Bernoulli shifts

Research output: Contribution to journalArticlepeer-review

Abstract

We prove that every non-singular Bernoulli shift is either zero-type or there is an equivalent invariant stationary product probability. We also give examples of a type III1Bernoulli shift and a Markovian flow which are power weakly mixing and zero-type.

Original languageAmerican English
Pages (from-to)549-559
Number of pages11
JournalErgodic Theory and Dynamical Systems
Volume33
Issue number2
DOIs
StatePublished - Apr 2013
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Applied Mathematics
  • General Mathematics

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