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Return time statistics via inducing

Bruin, H., Saussol, B., Troubetzkoy, S. and Vaienti, S. (2003) Return time statistics via inducing Dynamical Systems, 23. pp. 991-1013.


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We prove that the return time statistics of a dynamical system do not change if one passes to an induced (i.e. first return) map. We apply this to show exponential return time statistics in (i) smooth interval maps with nowhere-dense critical orbits and (ii) certain interval maps with neutral fixed points. The method also applies to (iii) certain quadratic maps of the complex plane.

Item Type: Article
Additional Information: Published in Ergodic Theory and Dynamical Systems, 23, 991-1013. © 2003 Cambridge University Press. Reprinted with permission.
Divisions: Faculty of Engineering and Physical Sciences > Mathematics
Depositing User: Mr Adam Field
Date Deposited: 27 May 2010 14:41
Last Modified: 23 Sep 2013 18:33

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