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The critical dimensions of Hamachi shifts
Anthony H. Dooley, Genevieve Mortiss
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Source: Crossref
Published: Jan 1, 2007
DOI: 10.2748/tmj/1176734747
Open original source ↗Source abstract
In 1981, Hamachi introduced an interesting class of type III shifts. Since these are not measure-preserving, one cannot use metric entropy to study them. As a possible substitute, we give estimates for the upper and lower critical dimensions of Hamachi shifts. These invariants have previously been used by the authors to study odometer actions.
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