Tohoku Mathematical Journal
2007
March
SECOND SERIES VOL. 59, NO. 1

Tohoku Math. J.
59 (2007), 57-66

Title THE CRITICAL DIMENSIONS OF HAMACHI SHIFTS

Author Anthony H. Dooley and Genevieve Mortiss

(Received August 8, 2005, revised July 13, 2006)
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.

2000 Mathematics Subject Classification. Primary 28D20, Secondary 54C70.

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