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Bernoulli maps of the interval

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Abstract

The ergodic properties of expanding piecewiseC 2 maps of the interval are studied. It is shown that such a map is Bernoulli if it is weak-mixing. Conditions are given that imply weak-mixing (and hence Bernoulliness).

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Authors and Affiliations

  1. Department of Mathematics, University of California, 94720, Berkeley, Calif., USA

    Rufus Bowen

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  1. Rufus Bowen
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Partially supported by NSF Grant MCS74-19388 and the Sloan Foundation.

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Bowen, R. Bernoulli maps of the interval. Israel J. Math. 28, 161–168 (1977). https://doi.org/10.1007/BF02759791

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  • DOI: https://doi.org/10.1007/BF02759791

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