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Generic distributional limits for measure preserving transformations

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Abstract

We construct a conservative ergodic transformation of the real line whose normalised Birkhoff sums are distributionally generic. This proves that distributional genericity is itself generic.

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References

  1. J. Aaronson,The asymptotic distributional behaviour of transformations preserving infinite measures, J. Analyse Math.39 (1981), 203–234.

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  2. N. Friedman,Introduction to Ergodic Theory, Van Nostrand, Reinhold, New York, 1970.

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Authors and Affiliations

  1. Department of Mathematics, Tel Aviv University, Ramat Aviv, Israel

    Jon Aaronson & Benjamin Weiss

  2. Institute of Mathematics, The Hebrew University of Jerusalem, Jerusalem, Israel

    Jon Aaronson & Benjamin Weiss

Authors
  1. Jon Aaronson
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  2. Benjamin Weiss
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Aaronson, J., Weiss, B. Generic distributional limits for measure preserving transformations. Israel J. Math. 47, 251–259 (1984). https://doi.org/10.1007/BF02760521

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  • DOI: https://doi.org/10.1007/BF02760521

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