On the Zero-Type property and mixing of Bernoulli shifts

Details On the Zero-Type property and mixing of Bernoulli shifts On the Zero-Type property and mixing of Bernoulli shifts

2010-01-24

arxiv.org/abs/1001.4261v6

Mathematics

Dynamical Systems

10 pages, An example of a power weakly mixing Bernoulli shift added. A reference to other examples of zero type and type III t

Scientific paper

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.

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