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The structure of piecewise monotonic transformations

Published online by Cambridge University Press:  19 September 2008

Franz Hofbauer
Franz Hofbauer*
Affiliation:
From the Institut für Mathematik, Universität Wien, Austria
*
†Address for correspondence: Dr Franz Hofbauer, Institut für Mathematik, Universität Wien, Strudhofgasse 4, A-1090 Wien, Austria.
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Abstract

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Transformations on [0, 1] which are piecewise monotonic and piecewise continuous are considered. Using symbolic dynamics, the structure of their nonwandering set is determined. This is then used to prove results about maximal and absolutely continuous invariant measures.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 1 , Issue 2 , June 1981 , pp. 159 - 178
Copyright
Copyright © Cambridge University Press 1981

References

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