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Intrinsical Randomness of Kolmogorov ℤd-Actions on a Lebesgue Space

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Abstract

We introduce a concept of an intrinsically weak and strong randomness of a ℤd-action on a Lebesgue space and we show that Kolmogorov ℤd-actions are intrinsically weak random, and Bernoulli ℤd-actions are intrinsically strong random.

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Authors and Affiliations

  1. Laboratoire de Probabilité, Université Pierre et Marie Curie, 75252, Paris Cedex 05, France

    M. Courbage

  2. Faculty of Mathematics and Informatics, Nicholas Copernicus University, 87-100, Toruń, Poland

    B. Kamiński

Authors
  1. M. Courbage
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  2. B. Kamiński
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Courbage, M., Kamiński, B. Intrinsical Randomness of Kolmogorov ℤd-Actions on a Lebesgue Space. Journal of Statistical Physics 97, 781–792 (1999). https://doi.org/10.1023/A:1004623510875

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  • DOI: https://doi.org/10.1023/A:1004623510875

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