Entropy Zero $\times$ Bernoulli Processes are Closed in the $\bar d$-Metric
Shields, Paul ; Thouvenot, J.-P.
Ann. Probab., Tome 3 (1975) no. 6, p. 732-736 / Harvested from Project Euclid
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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.
Publié le : 1975-08-14
Classification:  Bernoulli shift,  entropy zero,  $\bar d$-metric,  28A65,  60G10 
@article{1176996314,
     author = {Shields, Paul and Thouvenot, J.-P.},
     title = {Entropy Zero $\times$ Bernoulli Processes are Closed in the $\bar d$-Metric},
     journal = {Ann. Probab.},
     volume = {3},
     number = {6},
     year = {1975},
     pages = { 732-736},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1176996314}
}

Shields, Paul; Thouvenot, J.-P. Entropy Zero $\times$ Bernoulli Processes are Closed in the $\bar d$-Metric. Ann. Probab., Tome 3 (1975) no. 6, pp.  732-736. http://gdmltest.u-ga.fr/item/1176996314/