Abstract
An entropy zero $\times$ Bernoulli process is a stationary finite state process whose shift transformation is the direct product of an entropy zero transformation and a Bernoulli shift. We show that the class of such transformations which are ergodic is closed in the $\bar{d}$-metric. The $\bar{d}$-metric measures how closely two processes can be joined to form a third stationary process.
Citation
Paul Shields. J.-P. Thouvenot. "Entropy Zero $\times$ Bernoulli Processes are Closed in the $\bar d$-Metric." Ann. Probab. 3 (4) 732 - 736, August, 1975. https://doi.org/10.1214/aop/1176996314
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