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Cantor aperiodic systems and Bratteli diagrams
Authors:Konstantin Medynets
Affiliation:Institute for Low Temperature Physics, 61103 Kharkov, Ukraine
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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