Abstract
It is shown that if a process is finitely determined then it is very weak Bernoulli (VWB). Combined with known results this says that a process is isomorphic to a Bernoulli shift if and only if it satisfies an asymptotic independence condition, namely that of being VWB.
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Ornstein, D.S., Weiss, B. Finitely determined implies very weak Bernoulli. Israel J. Math. 17, 94–104 (1974). https://doi.org/10.1007/BF02756830
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DOI: https://doi.org/10.1007/BF02756830