The critical dimensions of Hamachi shifts

被引：3

作者：

Dooley, Anthony H. ^{[1
]}

Mortiss, Genevieve ^{[1
]}

机构：

[1] Univ New S Wales, Sch Math, Sydney, NSW 2052, Australia

来源：

TOHOKU MATHEMATICAL JOURNAL | 2007年 / 59卷 / 01期

关键词：

INVARIANT; ENTROPY; ISOMORPHISM;

D O I：

10.2748/tmj/1176734747

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：57 / 66

页数：10

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