Cantor aperiodic systems and Bratteli diagrams |
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Authors: | Konstantin Medynets |
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Affiliation: | Institute for Low Temperature Physics, 61103 Kharkov, Ukraine |
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Abstract: | We prove that every Cantor aperiodic system is homeomorphic to the Vershik map acting on the space of infinite paths of an ordered Bratteli diagram and give several corollaries of this result. To cite this article: K. Medynets, C. R. Acad. Sci. Paris, Ser. I 342 (2006). |
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