Exactness and maximal automorphic factors of unimodal interval maps
Bruin, Henk and Hawkins, Jane (2001) Exactness and maximal automorphic factors of unimodal interval maps Dynamical Systems, 21. pp. 1009-1034.
We study exactness and maximal automorphic factors of C3 unimodal maps of the interval. We show that for a large class of infinitely renormalizable maps, the maximal automorphic factor is an odometer with an ergodic non-singular measure. We give conditions under which maps with absorbing Cantor sets have an irrational rotation on a circle as a maximal automorphic factor, as well as giving exact examples of this type. We also prove that every C3 S-unimodal map with no attractor is exact with respect to Lebesgue measure. Additional results about measurable attractors in locally compact metric spaces are given.
|Divisions :||Faculty of Engineering and Physical Sciences > Mathematics|
|Date :||6 August 2001|
|Additional Information :||Published in Ergodic Theory and Dynamical Systems, 21, 1009-1034. © 2001 Cambridge University Press. Reprinted with permission.|
|Depositing User :||Mr Adam Field|
|Date Deposited :||27 May 2010 14:40|
|Last Modified :||23 Sep 2013 18:33|
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