On the Zero-Type property and mixing of Bernoulli shifts
Dynamical Systems
2011-03-08 v6 Probability
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.
Cite
@article{arxiv.1001.4261,
title = {On the Zero-Type property and mixing of Bernoulli shifts},
author = {Zemer Kosloff},
journal= {arXiv preprint arXiv:1001.4261},
year = {2011}
}
Comments
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