AC
1 expanding map of the circle which is not weak-mixing |
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| Authors: | Anthony N Quas |
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| Institution: | (1) Statistical Laboratory, Department of Pure Mathematics and Mathematical Statistics, University of Cambridge, 16 Mill Lane, CB2 1SB Cambridge, England |
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| Abstract: | In this paper, we construct an example of aC
1 expanding map of the circle which preserves Lebesgue measure such that the system is ergodic, but not weak-mixing. This contrasts
with the case ofC
1+ε maps, where any such map preserving Lebesgue measure has a Bernoulli natural extension and hence is weak-mixing. |
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| Keywords: | |
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