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Odometer action on Riesz product

Part of: Measure-theoretic ergodic theory

Published online by Cambridge University Press:  09 April 2009

Masamichi Yoshida
Masamichi Yoshida
Affiliation:
Department of Mathematics Osaka City UniversitySugimoto, Sumiyoshi-ku Osaka, Japan
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Abstract

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We consider the Riesz product with a constant coefficient and odometer action over infinite product spaces. By studying the ratio set we can conclude the type of the above dynamical systems is III1.

MSC classification

Secondary: 28D99: None of the above, but in this section
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 61 , Issue 2 , October 1996 , pp. 143 - 149
Copyright
Copyright © Australian Mathematical Society 1996

References

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