On the Zero-Type property and mixing of Bernoulli shifts
classification
🧮 math.DS
math.PR
keywords
bernoullimixingshifttypezero-typeeitherequivalentevery
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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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