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Bernoulli maps of the interval
Authors:Rufus Bowen
Institution:(1) Department of Mathematics, University of California, 94720 Berkeley, Calif., USA
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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