Every transformation is bilaterally deterministic

Donald S. Ornstein; Benjamin Weiss

doi:10.1007/BF02760793

Every transformation is bilaterally deterministic

Donald S. Ornstein^*
, Benjamin Weiss

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-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 Tⁱβ is the full σ-algebra for every n.

Original language	English
Pages (from-to)	154-158
Number of pages	5
Journal	Israel Journal of Mathematics
Volume	21
Issue number	2-3
DOIs	https://doi.org/10.1007/BF02760793
State	Published - Sep 1975

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title = "Every transformation is bilaterally deterministic",

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.",

author = "Ornstein, \{Donald S.\} and Benjamin Weiss",

year = "1975",

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language = "אנגלית",

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AB - 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.

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JO - Israel Journal of Mathematics

JF - Israel Journal of Mathematics

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Every transformation is bilaterally deterministic

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