Finitely determined implies very weak Bernoulli

  • Donald S. Ornstein*
  • , Benjamin Weiss
  • *Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

36 Scopus citations

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.

Original languageEnglish
Pages (from-to)94-104
Number of pages11
JournalIsrael Journal of Mathematics
Volume17
Issue number1
DOIs
StatePublished - Mar 1974

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