Product and Markov measures of type III

被引：6

作者：

Dooley, AH ^{[1
]}

Klemes, I

Quas, AN

机构：

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

[2] Univ Memphis, Dept Math Sci, Memphis, TN 38152 USA

[3] McGill Univ, Dept Math & Stat, Montreal, PQ H3A 2K6, Canada

来源：

JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS | 1998年 / 65卷

关键词：

AT property; G-measures; orbit equivalence; non-singular transformations;

D O I：

10.1017/S1446788700039410

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We five some explicit constructions of type III product measures with Various properties, resolving some conjectures of Brown, Dooley and Lake. We also define a family of Markov odometers of type III0 and show that the associated flow is approximately transitive.

引用

页码：84 / 110

页数：27

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