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New examples of topologically equivalent S-unimodal maps with different metric properties

Bruin, HP, Jakobson, M and Levin, G (2008) New examples of topologically equivalent S-unimodal maps with different metric properties Contemporary Mathematics, 469. 119 - 139. ISSN 0271-4132

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Abstract

We construct examples of topologically conjugate unimodal maps, such that both of them have an absolutely continuous invariant measure, but for one of them that measure is finite, and for another one it is -finite and infinite on every interval. The work is based on the results of Al-Khal, Bruin and Jakobson.

Item Type: Article
Additional Information: First published in Contemporary Mathematics (2008) Vol. 469. Published by the American Mathematical Society.
Divisions: Faculty of Engineering and Physical Sciences > Mathematics
Depositing User: Symplectic Elements
Date Deposited: 18 May 2012 11:02
Last Modified: 23 Sep 2013 19:20
URI: http://epubs.surrey.ac.uk/id/eprint/342992

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