Israel Journal of Mathematics

, Volume 21, Issue 2–3, pp 145–153 | Cite as

Factors of Bernoulli shifts

  • Donald S. Ornstein


An example is constructed of a proper factor of a Bernoulli shift, that cannot be increased without increasing its entropy, and still has no independent complement. The construction mirrors, in a sense, that of aK-automorphism that is not a Bernoulli shift.


Invariant Measure Ergodic Theorem Bernoulli Shift Conditional Measure Isomorphism Theorem 
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Copyright information

© Hebrew University 1975

Authors and Affiliations

  • Donald S. Ornstein
    • 1
  1. 1.Stanford UniversityStanfordU.S.A.

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