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Any flow is an orbit factor of any flow

Published online by Cambridge University Press:  19 September 2008

Donald Ornstein and
Benjamin Weiss
Donald Ornstein
Affiliation:
Department of Mathematics, Stanford University, Stanford CA 94305, USA
Benjamin Weiss
Affiliation:
Department of Mathematics, Hebrew University, Jerusalem, Israel
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Abstract

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We prove that given any two ergodic non-singular flows , St, the first can be time changed to t so that St is a factor of t. A corresponding result for transformations is that if , T are any two ergodic non-singular transformations then there is a tower over that has T as a factor.

Information

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 4 , Issue 1 , March 1984, pp. 105 - 116
Copyright
Copyright © Cambridge University Press 1984

References

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