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Invariant measures for general(ized) induced transformations

Author(s): Roland Zweimüller
Journal: Proc. Amer. Math. Soc. 133 (2005), 2283-2295.
MSC (2000): Primary 28D05, 28D20, 37A05, 60G10, 60G40
Posted: March 14, 2005
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Abstract: We show that the general(ized) induced transformation $T^{\tau}$ derived from an ergodic measure preserving transformation $T$ by means of an inducing time $\tau$ has an invariant measure canonically related to that of the original system iff a suitable induced version of $\tau$ is integrable. Moreover, we prove an Abramov-type entropy formula.

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Additional Information:

Roland Zweimüller
Affiliation: Department of Mathematics, Imperial College London, 180 Queen's Gate, London SW7 2AZ, United Kingdom
Email: r.zweimueller@imperial.ac.uk

DOI: 10.1090/S0002-9939-05-07772-5
PII: S 0002-9939(05)07772-5
Received by editor(s): July 23, 2003
Posted: March 14, 2005
Additional Notes: This research was partially supported by the Austrian Science Foundation FWF, project P14734-MAT, and by an APART [Austrian programme for advanced research and technology] fellowship of the Austrian Academy of Sciences.
Communicated by: Michael Handel
Copyright of article: Copyright 2005, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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