Finitely determined implies very weak Bernoulli |
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| Authors: | Donald S. Ornstein Benjamin Weiss |
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| Affiliation: | (1) Department of Mathematics, Stanford University, Palo Alto, California, USA;(2) Department of Mathematics, The Hebrew University of Jerusalem, Jerusalem, Israel |
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| 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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