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The existence of absolutely continuous invariant measures is not a topological invariant for unimodal maps

Published online by Cambridge University Press:  01 June 1998

HENK BRUIN
HENK BRUIN
Affiliation:
Royal Institute of Technology, Department of Mathematics, 10044 Stockholm, Sweden
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Abstract

Within the class of S-unimodal maps with fixed critical order it is shown that the existence of an absolutely continuous invariant probability measure is not a topological invariant.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 18 , Issue 3 , June 1998 , pp. 555 - 565
Copyright
© 1998 Cambridge University Press

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