Bernoulli maps of the interval |
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Authors: | Rufus Bowen |
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Affiliation: | (1) Department of Mathematics, University of California, 94720 Berkeley, Calif., USA |
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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). Partially supported by NSF Grant MCS74-19388 and the Sloan Foundation. |
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