Cyclic extensions of odometer transformations and spectral disjointness |
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| Authors: | Teturo Kamae |
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| Affiliation: | (1) Department of Mathematics, Osaka City University, Sugimoto-cho, 558 Osaka, Japan |
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| Abstract: | We discuss spectral properties of cyclic extensions of the odometer transformations. We prove that continuous power spectral measures corresponding to two of them with multiplicatively independent bases are mutually singular. These measures can be used to distinguish sets of normal numbers to multiplicatively independent bases. |
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