On the Zero-Type property and mixing of Bernoulli shifts
arXiv:1001.4261
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 Bernoulli shift and a Markovian flow which are power weakly mixing and zero type.
10 pages, An example of a power weakly mixing Bernoulli shift added. A reference to other examples of zero type and type III transformations was added. An example of a power weakly mixing flow is added