Abstract
Every ergodic transformationT 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 everyn.
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This research was supported in part by the National Science Foundation Research Grant NSF GP 33581X.
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Ornstein, D.S., Weiss, B. Every transformation is bilaterally deterministic. Israel J. Math. 21, 154–158 (1975). https://doi.org/10.1007/BF02760793
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DOI: https://doi.org/10.1007/BF02760793