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Flows associated with product type odometers

Published online by Cambridge University Press:  19 September 2008

M. Osikawa
M. Osikawa
Affiliation:
College of General Education, Kyushu University, Fukuoka 810, Japan
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Abstract

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An AC-flow is the associated flow of a product type odometer (PTO). We give examples of AC-flows and compute their L∞-point-spectra. We also introduce an invariant for isomorphism of aperiodic conservative ergodic nonsingular flows which is a closed subset of the unit interval and contains 0 and 1. We give a necessary condition for the associated flow of an approximately finite ergodic group to be finite measure preserving.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 3 , Issue 4 , December 1983 , pp. 601 - 611
Copyright
Copyright © Cambridge University Press 1983

References

REFERENCES

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