What does it mean for a mechanical system to be isomorphic to the Bernoulli flow?

  • Donald S. Ornstein
II. Ergodic Theory
Part of the Lecture Notes in Physics book series (LNP, volume 38)


Measure Space Ergodic Theory Roulette Wheel Geodesic Flow Bernoulli Shift 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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    Smorodinsky, M., Ergodic Theory, Entropy, Berlin, New York: Springer Verlag, 1971.Google Scholar
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    Ornstein, D., Ergodic Theory, Randomness, and Dynamical Systems, Yale University Press, 1973.Google Scholar
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    Ornstein, D., A Mixing Transformation for which Pinsker's Conjecture Fails, 10, No. 1 (February 1973), Advances in Mathematics, 103–123.Google Scholar
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    Weiss, B., and Ornstein, D., Finitely Determined Implies Very Weak Bernoulli, Israel J. Math., 17, No. 1 (1974) 94–104.Google Scholar
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    Parry, W., Entropy and Generators in Ergodic Theory, Benjamin, New YOrk, 1969.Google Scholar
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    Weiss, B., and Ornstein, D., Geodesic Flows are Bernoullian, Israel J. Math., 14, No. 3 (1973) 184–198.Google Scholar
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    Ratner, M., Anosov K-flows are Bernoulli, Israel J. Math, 16 (1973).Google Scholar
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    Bowen, R., Lectures on Equilibrium Statistical Mechanics, Minnesota, Spring 1974.Google Scholar

Copyright information

© Springer-Verlag 1975

Authors and Affiliations

  • Donald S. Ornstein
    • 1
  1. 1.Mathematics DepartmentStanford UniversityCalifornia

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