Every transformation is bilaterally deterministic

Donald S. Ornstein*, Benjamin Weiss

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

25 Scopus citations

Abstract

Every ergodic transformation T with a finite generator α, has another finite generator β, which refines α, and is bilaterally deterministic, i.e. V|i|>n T iβ is the full σ-algebra for every n.

Original languageEnglish
Pages (from-to)154-158
Number of pages5
JournalIsrael Journal of Mathematics
Volume21
Issue number2-3
DOIs
StatePublished - Sep 1975

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